39974860800 has 1296 divisors, whose sum is σ = 179894267280. Its totient is φ = 8599633920.

The previous prime is 39974860789. The next prime is 39974860837. The reversal of 39974860800 is 806847993.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2351462392 + ... + 2351462408.

It is an arithmetic number, because the mean of its divisors is an integer number (138807305).

Almost surely, 2^39974860800 is an apocalyptic number.

39974860800 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 39974860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89947133640).

39974860800 is an abundant number, since it is smaller than the sum of its proper divisors (139919406480).

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

39974860800 is an frugal number, since it uses more digits than its factorization.

39974860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 39974860800 in words is "thirty-nine billion, nine hundred seventy-four million, eight hundred sixty thousand, eight hundred".