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401863680000 = 21335541719
BaseRepresentation
bin1011101100100001111…
…00010010000000000000
31102102021120102010100000
411312100330102000000
523041004100230000
6504340313200000
741014361630256
oct5662074220000
91372246363300
10401863680000
1114547a630802
1265a73400000
132bb84796383
14156438d45d6
15a6c0330000
hex5d90f12000

401863680000 has 1680 divisors, whose sum is σ = 1676672917920. Its totient is φ = 95551488000.

The previous prime is 401863679993. The next prime is 401863680047. The reversal of 401863680000 is 86368104.

It is a happy number.

401863680000 is a `hidden beast` number, since 4 + 0 + 18 + 636 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4018636800002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21150719991 + ... + 21150720009.

It is an arithmetic number, because the mean of its divisors is an integer number (998019594).

Almost surely, 2401863680000 is an apocalyptic number.

401863680000 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 401863680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838336458960).

401863680000 is an abundant number, since it is smaller than the sum of its proper divisors (1274809237920).

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

401863680000 is an frugal number, since it uses more digits than its factorization.

401863680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 401863680000 in words is "four hundred one billion, eight hundred sixty-three million, six hundred eighty thousand".