39984801444 has 315 divisors, whose sum is σ = 127587900027. Its totient is φ = 10927523376.

The previous prime is 39984801403. The next prime is 39984801457. The reversal of 39984801444 is 44410848993.

The square root of 39984801444 is 199962.

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

39984801444 is a `hidden beast` number, since 39 + 98 + 4 + 80 + 1 + 444 = 666.

39984801444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39984801444² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1738469617 + ... + 1738469639.

Almost surely, 2^39984801444 is an apocalyptic number.

39984801444 is the 199962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39984801444

39984801444 is an abundant number, since it is smaller than the sum of its proper divisors (87603098583).

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

39984801444 is an frugal number, since it uses more digits than its factorization.

39984801444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 39984801444 in words is "thirty-nine billion, nine hundred eighty-four million, eight hundred one thousand, four hundred forty-four".