406516418144 has 24 divisors (see below), whose sum is σ = 800495648568. Its totient is φ = 203215936000.

The previous prime is 406516418093. The next prime is 406516418153. The reversal of 406516418144 is 441814615604.

It is a junction number, because it is equal to n+sod(n) for n = 406516418095 and 406516418104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164482 + ... + 1472769.

It is an arithmetic number, because the mean of its divisors is an integer number (33353985357).

Almost surely, 2^406516418144 is an apocalyptic number.

It is an amenable number.

406516418144 is a deficient number, since it is larger than the sum of its proper divisors (393979230424).

406516418144 is a wasteful number, since it uses less digits than its factorization.

406516418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642078 (or 2642070 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 406516418144 in words is "four hundred six billion, five hundred sixteen million, four hundred eighteen thousand, one hundred forty-four".