40006384003600 has 135 divisors (see below), whose sum is σ = 111810112404717. Its totient is φ = 13716170912640.

The previous prime is 40006384003583. The next prime is 40006384003609. The reversal of 40006384003600 is 630048360004.

The square root of 40006384003600 is 6325060.

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., 14402298241296 + 25604085762304 = 3795036^2 + 5060048^2 .

It is a super-2 number, since 2×40006384003600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40006384003609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 885485811 + ... + 885530989.

Almost surely, 2^{40006384003600} is an apocalyptic number.

40006384003600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40006384003600 is the 6325060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006384003600

40006384003600 is an abundant number, since it is smaller than the sum of its proper divisors (71803728401117).

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

40006384003600 is an frugal number, since it uses more digits than its factorization.

40006384003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90390 (or 45193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 40006384003600 in words is "forty trillion, six billion, three hundred eighty-four million, three thousand, six hundred".