415827701157120 has 2304 divisors, whose sum is σ = 1668227653435392. Its totient is φ = 86262768599040.

The previous prime is 415827701157079. The next prime is 415827701157203. The reversal of 415827701157120 is 21751107728514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 97087950499 + ... + 97087954781.

It is an arithmetic number, because the mean of its divisors is an integer number (724057141248).

Almost surely, 2^{415827701157120} is an apocalyptic number.

415827701157120 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 415827701157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834113826717696).

415827701157120 is an abundant number, since it is smaller than the sum of its proper divisors (1252399952278272).

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

415827701157120 is a wasteful number, since it uses less digits than its factorization.

415827701157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 51.

The spelling of 415827701157120 in words is "four hundred fifteen trillion, eight hundred twenty-seven billion, seven hundred one million, one hundred fifty-seven thousand, one hundred twenty".