42138280657920 has 352 divisors, whose sum is σ = 140787709993728. Its totient is φ = 10736759734272.

The previous prime is 42138280657909. The next prime is 42138280657939. The reversal of 42138280657920 is 2975608283124.

42138280657920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330959712 + ... + 331087008.

It is a 1-persistent number, because it is pandigital, but 2⋅42138280657920 = 84276561315840 is not.

Almost surely, 2^{42138280657920} is an apocalyptic number.

42138280657920 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 42138280657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70393854996864).

42138280657920 is an abundant number, since it is smaller than the sum of its proper divisors (98649429335808).

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

42138280657920 is a wasteful number, since it uses less digits than its factorization.

42138280657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128285 (or 128267 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 42138280657920 in words is "forty-two trillion, one hundred thirty-eight billion, two hundred eighty million, six hundred fifty-seven thousand, nine hundred twenty".