39541379904 has 448 divisors, whose sum is σ = 131006453760. Its totient is φ = 11757312000.

The previous prime is 39541379903. The next prime is 39541379909. The reversal of 39541379904 is 40997314593.

It is a happy number.

39541379904 is a `hidden beast` number, since 3 + 9 + 541 + 3 + 7 + 9 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39541379903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56406754 + ... + 56407454.

It is an arithmetic number, because the mean of its divisors is an integer number (292425120).

Almost surely, 2^39541379904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39541379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503226880).

39541379904 is an abundant number, since it is smaller than the sum of its proper divisors (91465073856).

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

39541379904 is an equidigital number, since it uses as much as digits as its factorization.

39541379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 39541379904 in words is "thirty-nine billion, five hundred forty-one million, three hundred seventy-nine thousand, nine hundred four".