39998375424 has 420 divisors, whose sum is σ = 139449823524. Its totient is φ = 11428107264.

The previous prime is 39998375311. The next prime is 39998375429. The reversal of 39998375424 is 42457389993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

39998375424 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 83 + 7 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58786560) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39998375429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5714053629 + ... + 5714053635.

Almost surely, 2^39998375424 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 39998375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69724911762).

39998375424 is an abundant number, since it is smaller than the sum of its proper divisors (99451448100).

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

39998375424 is an frugal number, since it uses more digits than its factorization.

39998375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

Multiplying 39998375424 by its sum of digits (63), we get a cube (2519897651712 = 13608³).

The spelling of 39998375424 in words is "thirty-nine billion, nine hundred ninety-eight million, three hundred seventy-five thousand, four hundred twenty-four".