417313831728 has 40 divisors (see below), whose sum is σ = 1096332955200. Its totient is φ = 136746904384.

The previous prime is 417313831709. The next prime is 417313831729. The reversal of 417313831728 is 827138313714.

417313831728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (417313831729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73675458 + ... + 73681121.

It is an arithmetic number, because the mean of its divisors is an integer number (27408323880).

Almost surely, 2^417313831728 is an apocalyptic number.

417313831728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

417313831728 is an abundant number, since it is smaller than the sum of its proper divisors (679019123472).

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

417313831728 is a wasteful number, since it uses less digits than its factorization.

417313831728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147356649 (or 147356643 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 417313831728 in words is "four hundred seventeen billion, three hundred thirteen million, eight hundred thirty-one thousand, seven hundred twenty-eight".