401302900800 has 840 divisors, whose sum is σ = 1525763121696. Its totient is φ = 103394672640.

The previous prime is 401302900799. The next prime is 401302900811. The reversal of 401302900800 is 8009203104.

It is a super-2 number, since 2×401302900800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 596289264 + ... + 596289936.

Almost surely, 2^401302900800 is an apocalyptic number.

401302900800 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 401302900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762881560848).

401302900800 is an abundant number, since it is smaller than the sum of its proper divisors (1124460220896).

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

401302900800 is a wasteful number, since it uses less digits than its factorization.

401302900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 401302900800 in words is "four hundred one billion, three hundred two million, nine hundred thousand, eight hundred".