401316249600 has 1008 divisors, whose sum is σ = 1705906509440. Its totient is φ = 91729428480.

The previous prime is 401316249599. The next prime is 401316249611. The reversal of 401316249600 is 6942613104.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)³ ⋅ (2!)³.

401316249600 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 6 + 2 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×401316249600² (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 47 ways as a sum of consecutive naturals, for example, 57330892797 + ... + 57330892803.

Almost surely, 2^401316249600 is an apocalyptic number.

401316249600 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 401316249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852953254720).

401316249600 is an abundant number, since it is smaller than the sum of its proper divisors (1304590259840).

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

401316249600 is an frugal number, since it uses more digits than its factorization.

401316249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 401316249600 in words is "four hundred one billion, three hundred sixteen million, two hundred forty-nine thousand, six hundred".