39996465600 has 1008 divisors, whose sum is σ = 167290626048. Its totient is φ = 8291082240.

The previous prime is 39996465583. The next prime is 39996465617. The reversal of 39996465600 is 656469993.

39996465600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39996465583) and next prime (39996465617).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314932737 + ... + 314932863.

Almost surely, 2^39996465600 is an apocalyptic number.

39996465600 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 39996465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83645313024).

39996465600 is an abundant number, since it is smaller than the sum of its proper divisors (127294160448).

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

39996465600 is a wasteful number, since it uses less digits than its factorization.

39996465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

It can be divided in two parts, 399964 and 65600, that added together give a palindrome (465564).

The spelling of 39996465600 in words is "thirty-nine billion, nine hundred ninety-six million, four hundred sixty-five thousand, six hundred".