39518242000 has 240 divisors, whose sum is σ = 102285752400. Its totient is φ = 14749056000.

The previous prime is 39518241991. The next prime is 39518242021. The reversal of 39518242000 is 24281593.

It can be written as a sum of positive squares in 8 ways, for example, as 20299410576 + 19218831424 = 142476^2 + 138632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55737646 + ... + 55738354.

It is an arithmetic number, because the mean of its divisors is an integer number (426190635).

Almost surely, 2^39518242000 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 39518242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51142876200).

39518242000 is an abundant number, since it is smaller than the sum of its proper divisors (62767510400).

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

39518242000 is a wasteful number, since it uses less digits than its factorization.

39518242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 39518242000 in words is "thirty-nine billion, five hundred eighteen million, two hundred forty-two thousand".