415945572120 has 640 divisors, whose sum is σ = 1550408428800. Its totient is φ = 99369317376.

The previous prime is 415945572101. The next prime is 415945572169. The reversal of 415945572120 is 21275549514.

415945572120 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 455 + 72 + 120 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 324196999 + ... + 324198281.

It is an arithmetic number, because the mean of its divisors is an integer number (2422513170).

Almost surely, 2^415945572120 is an apocalyptic number.

415945572120 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 415945572120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775204214400).

415945572120 is an abundant number, since it is smaller than the sum of its proper divisors (1134462856680).

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

415945572120 is a wasteful number, since it uses less digits than its factorization.

415945572120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 415945572120 in words is "four hundred fifteen billion, nine hundred forty-five million, five hundred seventy-two thousand, one hundred twenty".