42760807043328 has 432 divisors, whose sum is σ = 142438461984000. Its totient is φ = 12193139589120.

The previous prime is 42760807043287. The next prime is 42760807043333. The reversal of 42760807043328 is 82334070806724.

It is a happy number.

42760807043328 is a `hidden beast` number, since 4 + 2 + 7 + 60 + 80 + 70 + 433 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3963365358 + ... + 3963376146.

It is an arithmetic number, because the mean of its divisors is an integer number (329718662000).

Almost surely, 2^{42760807043328} is an apocalyptic number.

42760807043328 is a gapful number since it is divisible by the number (48) 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 42760807043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71219230992000).

42760807043328 is an abundant number, since it is smaller than the sum of its proper divisors (99677654940672).

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

42760807043328 is a wasteful number, since it uses less digits than its factorization.

42760807043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038 (or 20021 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 42760807043328 in words is "forty-two trillion, seven hundred sixty billion, eight hundred seven million, forty-three thousand, three hundred twenty-eight".