406417415634 has 96 divisors (see below), whose sum is σ = 975631647744. Its totient is φ = 121699998720.

The previous prime is 406417415633. The next prime is 406417415639. The reversal of 406417415634 is 436514714604.

406417415634 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 7 + 4 + 1 + 5 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406417415634.

It is not an unprimeable number, because it can be changed into a prime (406417415633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399027 + ... + 985929.

It is an arithmetic number, because the mean of its divisors is an integer number (10162829664).

Almost surely, 2^406417415634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406417415634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487815823872).

406417415634 is an abundant number, since it is smaller than the sum of its proper divisors (569214232110).

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

406417415634 is a wasteful number, since it uses less digits than its factorization.

406417415634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587032 (or 587029 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 406417415634 in words is "four hundred six billion, four hundred seventeen million, four hundred fifteen thousand, six hundred thirty-four".