415157960208960 has 560 divisors, whose sum is σ = 1574015511530880. Its totient is φ = 103506447974400.

The previous prime is 415157960208949. The next prime is 415157960208983. The reversal of 415157960208960 is 69802069751514.

415157960208960 is a `hidden beast` number, since 4 + 1 + 5 + 15 + 7 + 9 + 602 + 0 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×415157960208960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63416871 + ... + 69656409.

Almost surely, 2^{415157960208960} is an apocalyptic number.

415157960208960 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 415157960208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787007755765440).

415157960208960 is an abundant number, since it is smaller than the sum of its proper divisors (1158857551321920).

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

415157960208960 is a wasteful number, since it uses less digits than its factorization.

415157960208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239736 (or 6239717 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 415157960208960 in words is "four hundred fifteen trillion, one hundred fifty-seven billion, nine hundred sixty million, two hundred eight thousand, nine hundred sixty".