417872370960 has 400 divisors, whose sum is σ = 1586208476160. Its totient is φ = 101114542080.

The previous prime is 417872370959. The next prime is 417872370967. The reversal of 417872370960 is 69073278714.

417872370960 is a `hidden beast` number, since 417 + 8 + 72 + 3 + 70 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 417872370897 and 417872370906.

It is not an unprimeable number, because it can be changed into a prime (417872370967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40553169 + ... + 40563471.

Almost surely, 2^417872370960 is an apocalyptic number.

417872370960 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 417872370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793104238080).

417872370960 is an abundant number, since it is smaller than the sum of its proper divisors (1168336105200).

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

417872370960 is a wasteful number, since it uses less digits than its factorization.

417872370960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 417872370960 in words is "four hundred seventeen billion, eight hundred seventy-two million, three hundred seventy thousand, nine hundred sixty".