39945024000 has 480 divisors, whose sum is σ = 164444582016. Its totient is φ = 9129369600.

The previous prime is 39945023971. The next prime is 39945024023. The reversal of 39945024000 is 42054993.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4027047 + ... + 4036953.

Almost surely, 2^39945024000 is an apocalyptic number.

39945024000 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 39945024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82222291008).

39945024000 is an abundant number, since it is smaller than the sum of its proper divisors (124499558016).

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

39945024000 is an equidigital number, since it uses as much as digits as its factorization.

39945024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 39945024000 its reverse (42054993), we get a palindrome (39987078993).

The spelling of 39945024000 in words is "thirty-nine billion, nine hundred forty-five million, twenty-four thousand".