39941029440 has 336 divisors, whose sum is σ = 156653563248. Its totient is φ = 9253158912.

The previous prime is 39941029421. The next prime is 39941029441. The reversal of 39941029440 is 4492014993.

It can be written as a sum of positive squares in 8 ways, for example, as 413227584 + 39527801856 = 20328^2 + 198816^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (39941029441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605104 + ... + 667856.

It is an arithmetic number, because the mean of its divisors is an integer number (466230843).

Almost surely, 2^39941029440 is an apocalyptic number.

39941029440 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 39941029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78326781624).

39941029440 is an abundant number, since it is smaller than the sum of its proper divisors (116712533808).

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

39941029440 is a wasteful number, since it uses less digits than its factorization.

39941029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62806 (or 62793 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 39941029440 in words is "thirty-nine billion, nine hundred forty-one million, twenty-nine thousand, four hundred forty".