42081943995520 has 768 divisors, whose sum is σ = 122188744944000. Its totient is φ = 13762059632640.

The previous prime is 42081943995479. The next prime is 42081943995541. The reversal of 42081943995520 is 2559934918024.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6099713031 + ... + 6099719929.

Almost surely, 2^{42081943995520} is an apocalyptic number.

42081943995520 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 42081943995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61094372472000).

42081943995520 is an abundant number, since it is smaller than the sum of its proper divisors (80106800948480).

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

42081943995520 is a wasteful number, since it uses less digits than its factorization.

42081943995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 42081943995520 in words is "forty-two trillion, eighty-one billion, nine hundred forty-three million, nine hundred ninety-five thousand, five hundred twenty".