401559882156576 has 576 divisors, whose sum is σ = 1386912372378624. Its totient is φ = 108539324006400.

The previous prime is 401559882156541. The next prime is 401559882156691. The reversal of 401559882156576 is 675651288955104.

401559882156576 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 59 + 8 + 8 + 2 + 1 + 565 + 7 + 6 = 666.

It is a super-2 number, since 2×401559882156576² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858988116 + ... + 859455468.

It is an arithmetic number, because the mean of its divisors is an integer number (2407833979824).

Almost surely, 2^{401559882156576} 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 401559882156576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693456186189312).

401559882156576 is an abundant number, since it is smaller than the sum of its proper divisors (985352490222048).

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

401559882156576 is a wasteful number, since it uses less digits than its factorization.

401559882156576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468097 (or 468086 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 401559882156576 in words is "four hundred one trillion, five hundred fifty-nine billion, eight hundred eighty-two million, one hundred fifty-six thousand, five hundred seventy-six".