415664053678080 has 1040 divisors, whose sum is σ = 1507996953075360. Its totient is φ = 109514618044416.

The previous prime is 415664053678061. The next prime is 415664053678127. The reversal of 415664053678080 is 80876350466514.

415664053678080 is a `hidden beast` number, since 4 + 1 + 56 + 6 + 40 + 536 + 7 + 8 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 415664053677999 and 415664053678017.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 67445081079 + ... + 67445087241.

Almost surely, 2^{415664053678080} is an apocalyptic number.

415664053678080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415664053678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753998476537680).

415664053678080 is an abundant number, since it is smaller than the sum of its proper divisors (1092332899397280).

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

415664053678080 is a wasteful number, since it uses less digits than its factorization.

415664053678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 415664053678080 in words is "four hundred fifteen trillion, six hundred sixty-four billion, fifty-three million, six hundred seventy-eight thousand, eighty".