39974689420824 has 128 divisors (see below), whose sum is σ = 107058024000000. Its totient is φ = 12394356602880.

The previous prime is 39974689420823. The next prime is 39974689420829. The reversal of 39974689420824 is 42802498647993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39974689420823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17291677 + ... + 19466675.

It is an arithmetic number, because the mean of its divisors is an integer number (836390812500).

Almost surely, 2^{39974689420824} is an apocalyptic number.

39974689420824 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 39974689420824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53529012000000).

39974689420824 is an abundant number, since it is smaller than the sum of its proper divisors (67083334579176).

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

39974689420824 is a wasteful number, since it uses less digits than its factorization.

39974689420824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175553 (or 2175549 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 75.

The spelling of 39974689420824 in words is "thirty-nine trillion, nine hundred seventy-four billion, six hundred eighty-nine million, four hundred twenty thousand, eight hundred twenty-four".