401957181600 has 576 divisors, whose sum is σ = 1483586544384. Its totient is φ = 93784965120.

The previous prime is 401957181599. The next prime is 401957181617. The reversal of 401957181600 is 6181759104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81086322 + ... + 81091278.

It is an arithmetic number, because the mean of its divisors is an integer number (2575671084).

Almost surely, 2^401957181600 is an apocalyptic number.

401957181600 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 401957181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741793272192).

401957181600 is an abundant number, since it is smaller than the sum of its proper divisors (1081629362784).

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

401957181600 is a wasteful number, since it uses less digits than its factorization.

401957181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 401957181600 in words is "four hundred one billion, nine hundred fifty-seven million, one hundred eighty-one thousand, six hundred".