405761374045264 has 80 divisors (see below), whose sum is σ = 842353025688000. Its totient is φ = 188768323998720.

The previous prime is 405761374045211. The next prime is 405761374045267. The reversal of 405761374045264 is 462540473167504.

It is a junction number, because it is equal to n+sod(n) for n = 405761374045199 and 405761374045208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405761374045267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8592324 + ... + 29754844.

It is an arithmetic number, because the mean of its divisors is an integer number (10529412821100).

Almost surely, 2^{405761374045264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405761374045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421176512844000).

405761374045264 is an abundant number, since it is smaller than the sum of its proper divisors (436591651642736).

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

405761374045264 is a wasteful number, since it uses less digits than its factorization.

405761374045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21163676 (or 21163670 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 58.

The spelling of 405761374045264 in words is "four hundred five trillion, seven hundred sixty-one billion, three hundred seventy-four million, forty-five thousand, two hundred sixty-four".