42338988531840 has 1536 divisors, whose sum is σ = 182474706493440. Its totient is φ = 8108490424320.

The previous prime is 42338988531821. The next prime is 42338988531919. The reversal of 42338988531840 is 4813588983324.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31905793257 + ... + 31905794583.

It is an arithmetic number, because the mean of its divisors is an integer number (118798637040).

Almost surely, 2^{42338988531840} is an apocalyptic number.

42338988531840 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 42338988531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91237353246720).

42338988531840 is an abundant number, since it is smaller than the sum of its proper divisors (140135717961600).

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

42338988531840 is a wasteful number, since it uses less digits than its factorization.

42338988531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 42338988531840 in words is "forty-two trillion, three hundred thirty-eight billion, nine hundred eighty-eight million, five hundred thirty-one thousand, eight hundred forty".