401591412661824 has 3584 divisors, whose sum is σ = 1659466579968000. Its totient is φ = 92060275507200.

The previous prime is 401591412661799. The next prime is 401591412661841. The reversal of 401591412661824 is 428166214195104.

It is a happy number.

401591412661824 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 9 + 1 + 4 + 12 + 6 + 618 + 2 + 4 = 666.

It is a super-2 number, since 2×401591412661824² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 367421237022 + ... + 367421238114.

Almost surely, 2^{401591412661824} is an apocalyptic number.

401591412661824 is a gapful number since it is divisible by the number (44) 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 401591412661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829733289984000).

401591412661824 is an abundant number, since it is smaller than the sum of its proper divisors (1257875167306176).

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

401591412661824 is a wasteful number, since it uses less digits than its factorization.

401591412661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 401591412661824 in words is "four hundred one trillion, five hundred ninety-one billion, four hundred twelve million, six hundred sixty-one thousand, eight hundred twenty-four".