401634525600 has 1728 divisors, whose sum is σ = 1890141523200. Its totient is φ = 80472268800.

The previous prime is 401634525577. The next prime is 401634525689. The reversal of 401634525600 is 6525436104.

401634525600 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 3 + 45 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×401634525600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 530560422 + ... + 530561178.

It is an arithmetic number, because the mean of its divisors is an integer number (1093831900).

Almost surely, 2^401634525600 is an apocalyptic number.

401634525600 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 401634525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945070761600).

401634525600 is an abundant number, since it is smaller than the sum of its proper divisors (1488506997600).

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

401634525600 is a wasteful number, since it uses less digits than its factorization.

401634525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 401634525600 in words is "four hundred one billion, six hundred thirty-four million, five hundred twenty-five thousand, six hundred".