406437375645 has 64 divisors (see below), whose sum is σ = 825934602240. Its totient is φ = 185764601664.

The previous prime is 406437375611. The next prime is 406437375731. The reversal of 406437375645 is 546573734604.

406437375645 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 73 + 7 + 564 + 5 = 666.

It is not a de Polignac number, because 406437375645 - 2⁶ = 406437375581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406437375591 and 406437375600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5298334 + ... + 5374496.

It is an arithmetic number, because the mean of its divisors is an integer number (12905228160).

Almost surely, 2^406437375645 is an apocalyptic number.

406437375645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406437375645 is an abundant number, since it is smaller than the sum of its proper divisors (419497226595).

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

406437375645 is a wasteful number, since it uses less digits than its factorization.

406437375645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81831 (or 81825 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 406437375645 in words is "four hundred six billion, four hundred thirty-seven million, three hundred seventy-five thousand, six hundred forty-five".