401443257600 has 2160 divisors, whose sum is σ = 1887932914560. Its totient is φ = 81749606400.

The previous prime is 401443257587. The next prime is 401443257661. The reversal of 401443257600 is 6752344104.

401443257600 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 43 + 2 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×401443257600² (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 239 ways as a sum of consecutive naturals, for example, 3552595144 + ... + 3552595256.

It is an arithmetic number, because the mean of its divisors is an integer number (874043016).

Almost surely, 2^401443257600 is an apocalyptic number.

401443257600 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 401443257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943966457280).

401443257600 is an abundant number, since it is smaller than the sum of its proper divisors (1486489656960).

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

401443257600 is a wasteful number, since it uses less digits than its factorization.

401443257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 401443257600 in words is "four hundred one billion, four hundred forty-three million, two hundred fifty-seven thousand, six hundred".