39956404320 has 288 divisors, whose sum is σ = 157024707840. Its totient is φ = 9062876160.

The previous prime is 39956404289. The next prime is 39956404343. The reversal of 39956404320 is 2340465993.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305351 + ... + 1335609.

It is an arithmetic number, because the mean of its divisors is an integer number (545224680).

Almost surely, 2^39956404320 is an apocalyptic number.

39956404320 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 39956404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78512353920).

39956404320 is an abundant number, since it is smaller than the sum of its proper divisors (117068303520).

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

39956404320 is a wasteful number, since it uses less digits than its factorization.

39956404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30418 (or 30407 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 39956404320 in words is "thirty-nine billion, nine hundred fifty-six million, four hundred four thousand, three hundred twenty".