417968111880 has 256 divisors, whose sum is σ = 1536965280000. Its totient is φ = 100186859520.

The previous prime is 417968111849. The next prime is 417968111881. The reversal of 417968111880 is 88111869714.

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

It is not an unprimeable number, because it can be changed into a prime (417968111881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859666 + ... + 1254974.

It is an arithmetic number, because the mean of its divisors is an integer number (6003770625).

Almost surely, 2^417968111880 is an apocalyptic number.

417968111880 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 417968111880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768482640000).

417968111880 is an abundant number, since it is smaller than the sum of its proper divisors (1118997168120).

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

417968111880 is a wasteful number, since it uses less digits than its factorization.

417968111880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395429 (or 395419 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 417968111880 in words is "four hundred seventeen billion, nine hundred sixty-eight million, one hundred eleven thousand, eight hundred eighty".