42480520992 has 864 divisors, whose sum is σ = 163897664112. Its totient is φ = 10305404928.

The previous prime is 42480520969. The next prime is 42480521003. The reversal of 42480520992 is 29902508424.

42480520992 is a `hidden beast` number, since 42 + 4 + 80 + 520 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36390903696 + 6089617296 = 190764^2 + 78036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165293728 + ... + 165293984.

Almost surely, 2^42480520992 is an apocalyptic number.

42480520992 is a gapful number since it is divisible by the number (42) 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 42480520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81948832056).

42480520992 is an abundant number, since it is smaller than the sum of its proper divisors (121417143120).

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

42480520992 is a wasteful number, since it uses less digits than its factorization.

42480520992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42480520992 in words is "forty-two billion, four hundred eighty million, five hundred twenty thousand, nine hundred ninety-two".