415729414120 has 32 divisors (see below), whose sum is σ = 984622298400. Its totient is φ = 157539567168.

The previous prime is 415729414109. The next prime is 415729414141. The reversal of 415729414120 is 21414927514.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273505434 + ... + 273506953.

It is an arithmetic number, because the mean of its divisors is an integer number (30769446825).

Almost surely, 2^415729414120 is an apocalyptic number.

415729414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415729414120 is an abundant number, since it is smaller than the sum of its proper divisors (568892884280).

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

415729414120 is a wasteful number, since it uses less digits than its factorization.

415729414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547012417 (or 547012413 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 415729414120 in words is "four hundred fifteen billion, seven hundred twenty-nine million, four hundred fourteen thousand, one hundred twenty".