401419414656 has 512 divisors, whose sum is σ = 1321967001600. Its totient is φ = 119082700800.

The previous prime is 401419414639. The next prime is 401419414661. The reversal of 401419414656 is 656414914104.

401419414656 is a `hidden beast` number, since 4 + 0 + 141 + 9 + 41 + 465 + 6 = 666.

It is a super-2 number, since 2×401419414656² (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683848795 + ... + 683849381.

It is an arithmetic number, because the mean of its divisors is an integer number (2581966800).

Almost surely, 2^401419414656 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 401419414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660983500800).

401419414656 is an abundant number, since it is smaller than the sum of its proper divisors (920547586944).

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

401419414656 is a wasteful number, since it uses less digits than its factorization.

401419414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 401419414656 in words is "four hundred one billion, four hundred nineteen million, four hundred fourteen thousand, six hundred fifty-six".