417940992000 has 1248 divisors, whose sum is σ = 1800465675840. Its totient is φ = 95374540800.

The previous prime is 417940991999. The next prime is 417940992011. The reversal of 417940992000 is 299049714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677375692 + ... + 677376308.

It is an arithmetic number, because the mean of its divisors is an integer number (1442680830).

Almost surely, 2^417940992000 is an apocalyptic number.

417940992000 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 417940992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900232837920).

417940992000 is an abundant number, since it is smaller than the sum of its proper divisors (1382524683840).

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

417940992000 is an equidigital number, since it uses as much as digits as its factorization.

417940992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 417940992000 in words is "four hundred seventeen billion, nine hundred forty million, nine hundred ninety-two thousand".