42123339807360 has 512 divisors, whose sum is σ = 164764193402880. Its totient is φ = 8934192906240.

The previous prime is 42123339807349. The next prime is 42123339807467. The reversal of 42123339807360 is 6370893332124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 14923747 + ... + 17520413.

It is an arithmetic number, because the mean of its divisors is an integer number (321805065240).

Almost surely, 2^{42123339807360} is an apocalyptic number.

42123339807360 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 42123339807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82382096701440).

42123339807360 is an abundant number, since it is smaller than the sum of its proper divisors (122640853595520).

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

42123339807360 is a wasteful number, since it uses less digits than its factorization.

42123339807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596784 (or 2596772 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 42123339807360 in words is "forty-two trillion, one hundred twenty-three billion, three hundred thirty-nine million, eight hundred seven thousand, three hundred sixty".