417980751552 has 560 divisors, whose sum is σ = 1538646322752. Its totient is φ = 109247201280.

The previous prime is 417980751523. The next prime is 417980751563. The reversal of 417980751552 is 255157089714.

417980751552 is a `hidden beast` number, since 4 + 1 + 7 + 9 + 80 + 7 + 5 + 1 + 552 = 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 79 ways as a sum of consecutive naturals, for example, 53303152 + ... + 53310992.

Almost surely, 2^417980751552 is an apocalyptic number.

417980751552 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 417980751552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769323161376).

417980751552 is an abundant number, since it is smaller than the sum of its proper divisors (1120665571200).

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

417980751552 is a wasteful number, since it uses less digits than its factorization.

417980751552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 417980751552 in words is "four hundred seventeen billion, nine hundred eighty million, seven hundred fifty-one thousand, five hundred fifty-two".