40307789824 has 39 divisors (see below), whose sum is σ = 80631442237. Its totient is φ = 20147470336.

The previous prime is 40307789783. The next prime is 40307789831. The reversal of 40307789824 is 42898770304.

The square root of 40307789824 is 200768.

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., 40256409600 + 51380224 = 200640^2 + 7168^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12847584 + ... + 12850720.

Almost surely, 2^40307789824 is an apocalyptic number.

40307789824 is the 200768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40307789824

40307789824 is an abundant number, since it is smaller than the sum of its proper divisors (40323652413).

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

40307789824 is an frugal number, since it uses more digits than its factorization.

40307789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 40307789824 in words is "forty billion, three hundred seven million, seven hundred eighty-nine thousand, eight hundred twenty-four".