401862860800 has 336 divisors, whose sum is σ = 1032660202392. Its totient is φ = 155005747200.

The previous prime is 401862860771. The next prime is 401862860843. The reversal of 401862860800 is 8068268104.

It can be written as a sum of positive squares in 12 ways, for example, as 64980127744 + 336882733056 = 254912^2 + 580416^2 .

It is a super-2 number, since 2×401862860800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371545454 + ... + 1371545746.

Almost surely, 2^401862860800 is an apocalyptic number.

401862860800 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 401862860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516330101196).

401862860800 is an abundant number, since it is smaller than the sum of its proper divisors (630797341592).

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

401862860800 is a wasteful number, since it uses less digits than its factorization.

401862860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 401862860800 in words is "four hundred one billion, eight hundred sixty-two million, eight hundred sixty thousand, eight hundred".