40338312336 has 225 divisors, whose sum is σ = 135982748649. Its totient is φ = 11510771328.

The previous prime is 40338312307. The next prime is 40338312347. The reversal of 40338312336 is 63321383304.

The square root of 40338312336 is 200844.

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

40338312336 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 8 + 312 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19560819600 + 20777492736 = 139860^2 + 144144^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40338312336.

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, 50612290 + ... + 50613086.

Almost surely, 2^40338312336 is an apocalyptic number.

40338312336 is the 200844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40338312336

40338312336 is an abundant number, since it is smaller than the sum of its proper divisors (95644436313).

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

40338312336 is an frugal number, since it uses more digits than its factorization.

40338312336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Multiplying 40338312336 by its sum of digits (36), we get a square (1452179244096 = 1205064²).

40338312336 divided by its sum of digits (36) gives a square (1120508676 = 33474²).

The spelling of 40338312336 in words is "forty billion, three hundred thirty-eight million, three hundred twelve thousand, three hundred thirty-six".