407928745974880 has 96 divisors (see below), whose sum is σ = 1037886953330304. Its totient is φ = 150616639420416.

The previous prime is 407928745974877. The next prime is 407928745975007. The reversal of 407928745974880 is 88479547829704.

It is a junction number, because it is equal to n+sod(n) for n = 407928745974794 and 407928745974803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96805657 + ... + 100931623.

It is an arithmetic number, because the mean of its divisors is an integer number (10811322430524).

Almost surely, 2^{407928745974880} is an apocalyptic number.

407928745974880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407928745974880 is an abundant number, since it is smaller than the sum of its proper divisors (629958207355424).

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

407928745974880 is a wasteful number, since it uses less digits than its factorization.

407928745974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173528 (or 4173520 counting only the distinct ones).

The product of its (nonzero) digits is 9103933440, while the sum is 82.

The spelling of 407928745974880 in words is "four hundred seven trillion, nine hundred twenty-eight billion, seven hundred forty-five million, nine hundred seventy-four thousand, eight hundred eighty".