401599296000 has 2880 divisors, whose sum is σ = 1907211930624. Its totient is φ = 83607552000.

The previous prime is 401599295963. The next prime is 401599296013. The reversal of 401599296000 is 692995104.

401599296000 is a `hidden beast` number, since 4 + 0 + 15 + 9 + 9 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×401599296000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12954815985 + ... + 12954816015.

Almost surely, 2^401599296000 is an apocalyptic number.

401599296000 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 401599296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953605965312).

401599296000 is an abundant number, since it is smaller than the sum of its proper divisors (1505612634624).

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

401599296000 is an equidigital number, since it uses as much as digits as its factorization.

401599296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 401599296000 in words is "four hundred one billion, five hundred ninety-nine million, two hundred ninety-six thousand".