39948330240 has 864 divisors, whose sum is σ = 173564052480. Its totient is φ = 8258125824.

The previous prime is 39948330223. The next prime is 39948330259. The reversal of 39948330240 is 4203384993.

39948330240 is a `hidden beast` number, since 39 + 9 + 48 + 330 + 240 = 666.

It is a super-4 number, since 4×39948330240⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55560601 + ... + 55561319.

It is an arithmetic number, because the mean of its divisors is an integer number (200884320).

Almost surely, 2^39948330240 is an apocalyptic number.

39948330240 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 39948330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86782026240).

39948330240 is an abundant number, since it is smaller than the sum of its proper divisors (133615722240).

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

39948330240 is a wasteful number, since it uses less digits than its factorization.

39948330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 39948330240 in words is "thirty-nine billion, nine hundred forty-eight million, three hundred thirty thousand, two hundred forty".