404161515416400 has 480 divisors, whose sum is σ = 1567087439627520. Its totient is φ = 86921521397760.

The previous prime is 404161515416359. The next prime is 404161515416419. The reversal of 404161515416400 is 4614515161404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 516116356 + ... + 516898844.

It is an arithmetic number, because the mean of its divisors is an integer number (3264765499224).

Almost surely, 2^{404161515416400} is an apocalyptic number.

404161515416400 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 404161515416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783543719813760).

404161515416400 is an abundant number, since it is smaller than the sum of its proper divisors (1162925924211120).

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

404161515416400 is a wasteful number, since it uses less digits than its factorization.

404161515416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786151 (or 786140 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 404161515416400 in words is "four hundred four trillion, one hundred sixty-one billion, five hundred fifteen million, four hundred sixteen thousand, four hundred".