417479911325568 has 5120 divisors, whose sum is σ = 1758025285632000. Its totient is φ = 95210846945280.

The previous prime is 417479911325563. The next prime is 417479911325627. The reversal of 417479911325568 is 865523119974714.

417479911325568 is a `hidden beast` number, since 4 + 1 + 7 + 47 + 9 + 9 + 1 + 13 + 2 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 417479911325496 and 417479911325505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417479911325563) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1137547442121 + ... + 1137547442487.

It is an arithmetic number, because the mean of its divisors is an integer number (343364313600).

Almost surely, 2^{417479911325568} is an apocalyptic number.

417479911325568 is a gapful number since it is divisible by the number (48) 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 417479911325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879012642816000).

417479911325568 is an abundant number, since it is smaller than the sum of its proper divisors (1340545374306432).

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

417479911325568 is a wasteful number, since it uses less digits than its factorization.

417479911325568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 554 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 417479911325568 in words is "four hundred seventeen trillion, four hundred seventy-nine billion, nine hundred eleven million, three hundred twenty-five thousand, five hundred sixty-eight".