406623874716801 has 36 divisors (see below), whose sum is σ = 695196894704832. Its totient is φ = 224344206711072.

The previous prime is 406623874716757. The next prime is 406623874716809. The reversal of 406623874716801 is 108617478326604.

406623874716801 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 2 + 3 + 87 + 471 + 6 + 80 + 1 = 666.

It is not a de Polignac number, because 406623874716801 - 2⁷ = 406623874716673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (406623874716809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3837252141 + ... + 3837358106.

It is an arithmetic number, because the mean of its divisors is an integer number (19311024852912).

Almost surely, 2^{406623874716801} is an apocalyptic number.

It is an amenable number.

406623874716801 is a deficient number, since it is larger than the sum of its proper divisors (288573019988031).

406623874716801 is a wasteful number, since it uses less digits than its factorization.

406623874716801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674610318 (or 7674610286 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 406623874716801 in words is "four hundred six trillion, six hundred twenty-three billion, eight hundred seventy-four million, seven hundred sixteen thousand, eight hundred one".