415345500120 has 256 divisors, whose sum is σ = 1321543641600. Its totient is φ = 104137850880.

The previous prime is 415345500107. The next prime is 415345500127. The reversal of 415345500120 is 21005543514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415345500127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 341285752 + ... + 341286968.

It is an arithmetic number, because the mean of its divisors is an integer number (5162279850).

Almost surely, 2^415345500120 is an apocalyptic number.

415345500120 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 415345500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660771820800).

415345500120 is an abundant number, since it is smaller than the sum of its proper divisors (906198141480).

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

415345500120 is a wasteful number, since it uses less digits than its factorization.

415345500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 415345500120 in words is "four hundred fifteen billion, three hundred forty-five million, five hundred thousand, one hundred twenty".