39948720000 has 960 divisors, whose sum is σ = 159833836800. Its totient is φ = 8805888000.

The previous prime is 39948719983. The next prime is 39948720017. The reversal of 39948720000 is 2784993.

It is an interprime number because it is at equal distance from previous prime (39948719983) and next prime (39948720017).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 505679961 + ... + 505680039.

It is an arithmetic number, because the mean of its divisors is an integer number (166493580).

Almost surely, 2^39948720000 is an apocalyptic number.

39948720000 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 39948720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916918400).

39948720000 is an abundant number, since it is smaller than the sum of its proper divisors (119885116800).

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

39948720000 is an equidigital number, since it uses as much as digits as its factorization.

39948720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 39948720000 in words is "thirty-nine billion, nine hundred forty-eight million, seven hundred twenty thousand".