39968474112 has 880 divisors, whose sum is σ = 147803749632. Its totient is φ = 10510663680.

The previous prime is 39968474101. The next prime is 39968474159. The reversal of 39968474112 is 21147486993.

It is a super-3 number, since 3×39968474112³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 547513308 + ... + 547513380.

Almost surely, 2^39968474112 is an apocalyptic number.

39968474112 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 39968474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73901874816).

39968474112 is an abundant number, since it is smaller than the sum of its proper divisors (107835275520).

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

39968474112 is a wasteful number, since it uses less digits than its factorization.

39968474112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

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

The spelling of 39968474112 in words is "thirty-nine billion, nine hundred sixty-eight million, four hundred seventy-four thousand, one hundred twelve".