401839360000 has 960 divisors, whose sum is σ = 1203544742400. Its totient is φ = 132710400000.

The previous prime is 401839359947. The next prime is 401839360033. The reversal of 401839360000 is 63938104.

It is a super-2 number, since 2×401839360000² (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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9800959980 + ... + 9800960020.

It is an arithmetic number, because the mean of its divisors is an integer number (1253692440).

Almost surely, 2^401839360000 is an apocalyptic number.

401839360000 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 401839360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601772371200).

401839360000 is an abundant number, since it is smaller than the sum of its proper divisors (801705382400).

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

401839360000 is a wasteful number, since it uses less digits than its factorization.

401839360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 401839360000 in words is "four hundred one billion, eight hundred thirty-nine million, three hundred sixty thousand".