39976941312 has 576 divisors, whose sum is σ = 152207032320. Its totient is φ = 10044518400.

The previous prime is 39976941253. The next prime is 39976941331. The reversal of 39976941312 is 21314967993.

It is a happy number.

39976941312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16497733 + ... + 16500155.

It is an arithmetic number, because the mean of its divisors is an integer number (264248320).

Almost surely, 2^39976941312 is an apocalyptic number.

39976941312 is a gapful number since it is divisible by the number (32) 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 39976941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76103516160).

39976941312 is an abundant number, since it is smaller than the sum of its proper divisors (112230091008).

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

39976941312 is a wasteful number, since it uses less digits than its factorization.

39976941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2477 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 39976941312 in words is "thirty-nine billion, nine hundred seventy-six million, nine hundred forty-one thousand, three hundred twelve".