401216625180 has 288 divisors, whose sum is σ = 1466306150400. Its totient is φ = 86859717120.

The previous prime is 401216625163. The next prime is 401216625191. The reversal of 401216625180 is 81526612104.

It is a happy number.

401216625180 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 16 + 625 + 18 + 0 = 666.

It is a super-2 number, since 2×401216625180² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1726546 + ... + 1945094.

It is an arithmetic number, because the mean of its divisors is an integer number (5091340800).

Almost surely, 2^401216625180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401216625180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733153075200).

401216625180 is an abundant number, since it is smaller than the sum of its proper divisors (1065089525220).

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

401216625180 is a wasteful number, since it uses less digits than its factorization.

401216625180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218649 (or 218644 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 401216625180 in words is "four hundred one billion, two hundred sixteen million, six hundred twenty-five thousand, one hundred eighty".