42076507080000 has 1120 divisors, whose sum is σ = 147830361541632. Its totient is φ = 10543104000000.

The previous prime is 42076507079993. The next prime is 42076507080019. The reversal of 42076507080000 is 8070567024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19913158944 + ... + 19913161056.

Almost surely, 2^{42076507080000} is an apocalyptic number.

42076507080000 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 42076507080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73915180770816).

42076507080000 is an abundant number, since it is smaller than the sum of its proper divisors (105753854461632).

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

42076507080000 is a wasteful number, since it uses less digits than its factorization.

42076507080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 42076507080000 in words is "forty-two trillion, seventy-six billion, five hundred seven million, eighty thousand".