417791602166400 has 2304 divisors, whose sum is σ = 1943431382430720. Its totient is φ = 86812333977600.

The previous prime is 417791602166387. The next prime is 417791602166431. The reversal of 417791602166400 is 4661206197714.

It is a happy number.

417791602166400 is a `hidden beast` number, since 4 + 1 + 7 + 7 + 9 + 16 + 0 + 216 + 6 + 400 = 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 287 ways as a sum of consecutive naturals, for example, 7244870367 + ... + 7244928033.

It is an arithmetic number, because the mean of its divisors is an integer number (843503204180).

Almost surely, 2^{417791602166400} is an apocalyptic number.

417791602166400 is a gapful number since it is divisible by the number (40) 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 417791602166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971715691215360).

417791602166400 is an abundant number, since it is smaller than the sum of its proper divisors (1525639780264320).

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

417791602166400 is an equidigital number, since it uses as much as digits as its factorization.

417791602166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57746 (or 57695 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 417791602166400 in words is "four hundred seventeen trillion, seven hundred ninety-one billion, six hundred two million, one hundred sixty-six thousand, four hundred".