39978716400 has 600 divisors, whose sum is σ = 173640091680. Its totient is φ = 8599633920.

The previous prime is 39978716293. The next prime is 39978716419. The reversal of 39978716400 is 461787993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3850416 + ... + 3860784.

Almost surely, 2^39978716400 is an apocalyptic number.

39978716400 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 39978716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86820045840).

39978716400 is an abundant number, since it is smaller than the sum of its proper divisors (133661375280).

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

39978716400 is a wasteful number, since it uses less digits than its factorization.

39978716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 39978716400 in words is "thirty-nine billion, nine hundred seventy-eight million, seven hundred sixteen thousand, four hundred".