39948591360 has 288 divisors, whose sum is σ = 135044300160. Its totient is φ = 10036445184.

The previous prime is 39948591359. The next prime is 39948591373. The reversal of 39948591360 is 6319584993.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 39948591360.

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 31 ways as a sum of consecutive naturals, for example, 14079862 + ... + 14082698.

It is an arithmetic number, because the mean of its divisors is an integer number (468903820).

Almost surely, 2^39948591360 is an apocalyptic number.

39948591360 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 39948591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67522150080).

39948591360 is an abundant number, since it is smaller than the sum of its proper divisors (95095708800).

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

39948591360 is a wasteful number, since it uses less digits than its factorization.

39948591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 39948591360 in words is "thirty-nine billion, nine hundred forty-eight million, five hundred ninety-one thousand, three hundred sixty".