415676781360 has 120 divisors (see below), whose sum is σ = 1396101744960. Its totient is φ = 110837569536.

The previous prime is 415676781323. The next prime is 415676781413. The reversal of 415676781360 is 63187676514.

415676781360 is a `hidden beast` number, since 4 + 1 + 567 + 6 + 7 + 8 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 415676781297 and 415676781306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13152297 + ... + 13183863.

It is an arithmetic number, because the mean of its divisors is an integer number (11634181208).

Almost surely, 2^415676781360 is an apocalyptic number.

415676781360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415676781360 is an abundant number, since it is smaller than the sum of its proper divisors (980424963600).

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

415676781360 is a wasteful number, since it uses less digits than its factorization.

415676781360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49875 (or 49866 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 415676781360 in words is "four hundred fifteen billion, six hundred seventy-six million, seven hundred eighty-one thousand, three hundred sixty".