41878720465920 has 1232 divisors, whose sum is σ = 163198852451040. Its totient is φ = 10306589589504.

The previous prime is 41878720465919. The next prime is 41878720465937. The reversal of 41878720465920 is 2956402787814.

It is a happy number.

41878720465920 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 87 + 2 + 0 + 465 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8200256007 + ... + 8200261113.

Almost surely, 2^{41878720465920} is an apocalyptic number.

41878720465920 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 41878720465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81599426225520).

41878720465920 is an abundant number, since it is smaller than the sum of its proper divisors (121320131985120).

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

41878720465920 is an frugal number, since it uses more digits than its factorization.

41878720465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 41878720465920 in words is "forty-one trillion, eight hundred seventy-eight billion, seven hundred twenty million, four hundred sixty-five thousand, nine hundred twenty".