39225708144 has 360 divisors, whose sum is σ = 132445272960. Its totient is φ = 10794470400.

The previous prime is 39225708127. The next prime is 39225708163. The reversal of 39225708144 is 44180752293.

39225708144 is a `hidden beast` number, since 39 + 2 + 2 + 570 + 8 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39225708144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85088074 + ... + 85088534.

It is an arithmetic number, because the mean of its divisors is an integer number (367903536).

Almost surely, 2^39225708144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39225708144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66222636480).

39225708144 is an abundant number, since it is smaller than the sum of its proper divisors (93219564816).

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

39225708144 is a wasteful number, since it uses less digits than its factorization.

39225708144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 39225708144 in words is "thirty-nine billion, two hundred twenty-five million, seven hundred eight thousand, one hundred forty-four".