39982800000 has 768 divisors, whose sum is σ = 156623725440. Its totient is φ = 8908800000.

The previous prime is 39982799993. The next prime is 39982800061. The reversal of 39982800000 is 828993.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171599884 + ... + 171600116.

Almost surely, 2^39982800000 is an apocalyptic number.

39982800000 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 39982800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78311862720).

39982800000 is an abundant number, since it is smaller than the sum of its proper divisors (116640925440).

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

39982800000 is a wasteful number, since it uses less digits than its factorization.

39982800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 39982800000 in words is "thirty-nine billion, nine hundred eighty-two million, eight hundred thousand".