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401422060800 = 283252171093761
BaseRepresentation
bin1011101011101101001…
…11101000110100000000
31102101010210102112200100
411311312213220310000
523034103021421200
6504224415522400
741000420134605
oct5656647506400
91371123375610
10401422060800
11145273319762
126596b529400
132bb14142237
1415600db86ac
15a696699d00
hex5d769e8d00

401422060800 has 648 divisors, whose sum is σ = 1533945493080. Its totient is φ = 99798220800.

The previous prime is 401422060769. The next prime is 401422060801. The reversal of 401422060800 is 8060224104.

401422060800 is a `hidden beast` number, since 40 + 14 + 2 + 2 + 0 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 38015640576 + 363406420224 = 194976^2 + 602832^2 .

It is a super-2 number, since 2×4014220608002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401422060801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106730920 + ... + 106734680.

It is an arithmetic number, because the mean of its divisors is an integer number (2367199835).

Almost surely, 2401422060800 is an apocalyptic number.

401422060800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401422060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766972746540).

401422060800 is an abundant number, since it is smaller than the sum of its proper divisors (1132523432280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401422060800 is a wasteful number, since it uses less digits than its factorization.

401422060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 401422060800 its reverse (8060224104), we get a palindrome (409482284904).

The spelling of 401422060800 in words is "four hundred one billion, four hundred twenty-two million, sixty thousand, eight hundred".