417389940480 has 144 divisors (see below), whose sum is σ = 1411453409184. Its totient is φ = 104756674560.

The previous prime is 417389940467. The next prime is 417389940493. The reversal of 417389940480 is 84049983714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417389940467) and next prime (417389940493).

It is a self number, because there is not a number n which added to its sum of digits gives 417389940480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131641 + ... + 3262200.

It is an arithmetic number, because the mean of its divisors is an integer number (9801759786).

Almost surely, 2^417389940480 is an apocalyptic number.

417389940480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417389940480 is an abundant number, since it is smaller than the sum of its proper divisors (994063468704).

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

417389940480 is a wasteful number, since it uses less digits than its factorization.

417389940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393882 (or 6393868 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 417389940480 in words is "four hundred seventeen billion, three hundred eighty-nine million, nine hundred forty thousand, four hundred eighty".