417125745792 has 512 divisors, whose sum is σ = 1503816192000. Its totient is φ = 111108243456.

The previous prime is 417125745781. The next prime is 417125745887. The reversal of 417125745792 is 297547521714.

It is a happy number.

417125745792 is a `hidden beast` number, since 4 + 1 + 7 + 12 + 57 + 4 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44000509 + ... + 44009987.

It is an arithmetic number, because the mean of its divisors is an integer number (2937141000).

Almost surely, 2^417125745792 is an apocalyptic number.

417125745792 is a gapful number since it is divisible by the number (42) 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 417125745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751908096000).

417125745792 is an abundant number, since it is smaller than the sum of its proper divisors (1086690446208).

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

417125745792 is a wasteful number, since it uses less digits than its factorization.

417125745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9615 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 417125745792 in words is "four hundred seventeen billion, one hundred twenty-five million, seven hundred forty-five thousand, seven hundred ninety-two".