39805038144 has 315 divisors, whose sum is σ = 126117445377. Its totient is φ = 12411242496.

The previous prime is 39805038139. The next prime is 39805038173. The reversal of 39805038144 is 44183050893.

The square root of 39805038144 is 199512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30990081600 + 8814956544 = 176040^2 + 93888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39805038144.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 244202607 + ... + 244202769.

Almost surely, 2^39805038144 is an apocalyptic number.

39805038144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

39805038144 is the 199512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39805038144

39805038144 is an abundant number, since it is smaller than the sum of its proper divisors (86312407233).

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

39805038144 is an equidigital number, since it uses as much as digits as its factorization.

39805038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 39805038144 in words is "thirty-nine billion, eight hundred five million, thirty-eight thousand, one hundred forty-four".