406167761604 has 24 divisors (see below), whose sum is σ = 1033881575328. Its totient is φ = 123081139840.

The previous prime is 406167761561. The next prime is 406167761633.

406167761604 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538514117 + ... + 1538514380.

It is an arithmetic number, because the mean of its divisors is an integer number (43078398972).

Almost surely, 2^406167761604 is an apocalyptic number.

406167761604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406167761604 is an abundant number, since it is smaller than the sum of its proper divisors (627713813724).

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

406167761604 is a wasteful number, since it uses less digits than its factorization.

406167761604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077028515 (or 3077028513 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 406167761604 in words is "four hundred six billion, one hundred sixty-seven million, seven hundred sixty-one thousand, six hundred four".