42598338631680 has 768 divisors, whose sum is σ = 157109150016000. Its totient is φ = 9765390385152.

The previous prime is 42598338631679. The next prime is 42598338631769. The reversal of 42598338631680 is 8613683389524.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447634984 + ... + 447730136.

It is an arithmetic number, because the mean of its divisors is an integer number (204569205750).

Almost surely, 2^{42598338631680} is an apocalyptic number.

42598338631680 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 42598338631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78554575008000).

42598338631680 is an abundant number, since it is smaller than the sum of its proper divisors (114510811384320).

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

42598338631680 is a wasteful number, since it uses less digits than its factorization.

42598338631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95274 (or 95254 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 42598338631680 in words is "forty-two trillion, five hundred ninety-eight billion, three hundred thirty-eight million, six hundred thirty-one thousand, six hundred eighty".