406476571656 has 256 divisors, whose sum is σ = 1124284561920. Its totient is φ = 121927680000.

The previous prime is 406476571651. The next prime is 406476571679. The reversal of 406476571656 is 656175674604.

It is a junction number, because it is equal to n+sod(n) for n = 406476571596 and 406476571605.

It is not an unprimeable number, because it can be changed into a prime (406476571651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579852106 + ... + 579852806.

It is an arithmetic number, because the mean of its divisors is an integer number (4391736570).

Almost surely, 2^406476571656 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 406476571656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562142280960).

406476571656 is an abundant number, since it is smaller than the sum of its proper divisors (717807990264).

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

406476571656 is a wasteful number, since it uses less digits than its factorization.

406476571656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 406476571656 in words is "four hundred six billion, four hundred seventy-six million, five hundred seventy-one thousand, six hundred fifty-six".