415001152312290 has 192 divisors, whose sum is σ = 1123517378535552. Its totient is φ = 106190515123200.

The previous prime is 415001152312261. The next prime is 415001152312291. The reversal of 415001152312290 is 92213251100514.

415001152312290 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 0 + 1 + 1 + 52 + 312 + 290 = 666.

It is a super-2 number, since 2×415001152312290² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415001152312291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3773128677 + ... + 3773238663.

It is an arithmetic number, because the mean of its divisors is an integer number (5851653013206).

Almost surely, 2^{415001152312290} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415001152312290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561758689267776).

415001152312290 is an abundant number, since it is smaller than the sum of its proper divisors (708516226223262).

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

415001152312290 is a wasteful number, since it uses less digits than its factorization.

415001152312290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126865 (or 126862 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 415001152312290 in words is "four hundred fifteen trillion, one billion, one hundred fifty-two million, three hundred twelve thousand, two hundred ninety".