39642246144 has 264 divisors, whose sum is σ = 122604328080. Its totient is φ = 12292718592.

The previous prime is 39642246139. The next prime is 39642246167. The reversal of 39642246144 is 44164224693.

39642246144 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 2 + 24 + 614 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39642246144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13942387 + ... + 13945229.

Almost surely, 2^39642246144 is an apocalyptic number.

39642246144 is a gapful number since it is divisible by the number (34) 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 39642246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302164040).

39642246144 is an abundant number, since it is smaller than the sum of its proper divisors (82962081936).

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

39642246144 is a wasteful number, since it uses less digits than its factorization.

39642246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2954 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 39642246144 in words is "thirty-nine billion, six hundred forty-two million, two hundred forty-six thousand, one hundred forty-four".