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401343621120 = 2113551319653
BaseRepresentation
bin1011101011100011111…
…00011010100000000000
31102100221022211101200000
411311301330122200000
523033422431333440
6504212534400000
740665445330521
oct5656174324000
91370838741600
10401343621120
11145233013882
1265949200000
132bb00b0a120
14155d47da848
15a68e853730
hex5d71f1a800

401343621120 has 1152 divisors, whose sum is σ = 1637730057600. Its totient is φ = 93449355264.

The previous prime is 401343621053. The next prime is 401343621137. The reversal of 401343621120 is 21126343104.

It is a happy number.

401343621120 is a `hidden beast` number, since 4 + 0 + 1 + 34 + 3 + 621 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4013436211202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614614714 + ... + 614615366.

It is an arithmetic number, because the mean of its divisors is an integer number (1421640675).

Almost surely, 2401343621120 is an apocalyptic number.

401343621120 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 401343621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818865028800).

401343621120 is an abundant number, since it is smaller than the sum of its proper divisors (1236386436480).

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

401343621120 is a wasteful number, since it uses less digits than its factorization.

401343621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 401343621120 its reverse (21126343104), we get a palindrome (422469964224).

The spelling of 401343621120 in words is "four hundred one billion, three hundred forty-three million, six hundred twenty-one thousand, one hundred twenty".