42412870080 has 784 divisors, whose sum is σ = 182297710080. Its totient is φ = 9177421824.

The previous prime is 42412870039. The next prime is 42412870103. The reversal of 42412870080 is 8007821424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 31025557 + ... + 31026923.

Almost surely, 2^42412870080 is an apocalyptic number.

42412870080 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 42412870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91148855040).

42412870080 is an abundant number, since it is smaller than the sum of its proper divisors (139884840000).

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

42412870080 is a wasteful number, since it uses less digits than its factorization.

42412870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 42412870080 in words is "forty-two billion, four hundred twelve million, eight hundred seventy thousand, eighty".