39945942281184 has 384 divisors, whose sum is σ = 111776418496512. Its totient is φ = 12470641182720.

The previous prime is 39945942281107. The next prime is 39945942281197. The reversal of 39945942281184 is 48118224954993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20103643839 + ... + 20103645825.

It is an arithmetic number, because the mean of its divisors is an integer number (291084423168).

Almost surely, 2^{39945942281184} 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 39945942281184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55888209248256).

39945942281184 is an abundant number, since it is smaller than the sum of its proper divisors (71830476215328).

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

39945942281184 is a wasteful number, since it uses less digits than its factorization.

39945942281184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 39945942281184 in words is "thirty-nine trillion, nine hundred forty-five billion, nine hundred forty-two million, two hundred eighty-one thousand, one hundred eighty-four".