406071516957 has 32 divisors (see below), whose sum is σ = 603575579520. Its totient is φ = 241329715200.

The previous prime is 406071516953. The next prime is 406071517057. The reversal of 406071516957 is 759615170604.

It is a happy number.

It is not a de Polignac number, because 406071516957 - 2² = 406071516953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406071516953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4901793 + ... + 4983945.

It is an arithmetic number, because the mean of its divisors is an integer number (18861736860).

Almost surely, 2^406071516957 is an apocalyptic number.

It is an amenable number.

406071516957 is a deficient number, since it is larger than the sum of its proper divisors (197504062563).

406071516957 is a wasteful number, since it uses less digits than its factorization.

406071516957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87293.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 406071516957 in words is "four hundred six billion, seventy-one million, five hundred sixteen thousand, nine hundred fifty-seven".