401419272800 has 576 divisors, whose sum is σ = 1318379618304. Its totient is φ = 115701350400.

The previous prime is 401419272773. The next prime is 401419272841. The reversal of 401419272800 is 8272914104.

It is a happy number.

It is a super-2 number, since 2×401419272800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 38360369 + ... + 38370831.

It is an arithmetic number, because the mean of its divisors is an integer number (2288853504).

Almost surely, 2^401419272800 is an apocalyptic number.

401419272800 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 401419272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659189809152).

401419272800 is an abundant number, since it is smaller than the sum of its proper divisors (916960345504).

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

401419272800 is a wasteful number, since it uses less digits than its factorization.

401419272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 401419272800 in words is "four hundred one billion, four hundred nineteen million, two hundred seventy-two thousand, eight hundred".