415157680080 has 1440 divisors, whose sum is σ = 1728827597952. Its totient is φ = 88418304000.

The previous prime is 415157680057. The next prime is 415157680109. The reversal of 415157680080 is 80086751514.

415157680080 is a `hidden beast` number, since 415 + 15 + 76 + 80 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 4110472030 + ... + 4110472130.

Almost surely, 2^415157680080 is an apocalyptic number.

415157680080 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 415157680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864413798976).

415157680080 is an abundant number, since it is smaller than the sum of its proper divisors (1313669917872).

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

415157680080 is a wasteful number, since it uses less digits than its factorization.

415157680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 415157680080 in words is "four hundred fifteen billion, one hundred fifty-seven million, six hundred eighty thousand, eighty".