39442125840 has 640 divisors, whose sum is σ = 145057382400. Its totient is φ = 8831047680.

The previous prime is 39442125769. The next prime is 39442125869. The reversal of 39442125840 is 4852124493.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 39442125792 and 39442125801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310567857 + ... + 310567983.

It is an arithmetic number, because the mean of its divisors is an integer number (226652160).

Almost surely, 2^39442125840 is an apocalyptic number.

39442125840 is a gapful number since it is divisible by the number (30) 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 39442125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72528691200).

39442125840 is an abundant number, since it is smaller than the sum of its proper divisors (105615256560).

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

39442125840 is a wasteful number, since it uses less digits than its factorization.

39442125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 39442125840 in words is "thirty-nine billion, four hundred forty-two million, one hundred twenty-five thousand, eight hundred forty".