40332688900 has 243 divisors, whose sum is σ = 108168055317. Its totient is φ = 13013784000.

The previous prime is 40332688889. The next prime is 40332688909. The reversal of 40332688900 is 988623304.

The square root of 40332688900 is 200830.

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., 14519768004 + 25812920896 = 120498^2 + 160664^2 .

It is not an unprimeable number, because it can be changed into a prime (40332688909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267103825 + ... + 267103975.

Almost surely, 2^40332688900 is an apocalyptic number.

40332688900 is the 200830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40332688900

40332688900 is an abundant number, since it is smaller than the sum of its proper divisors (67835366417).

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

40332688900 is a wasteful number, since it uses less digits than its factorization.

40332688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 40332688900 in words is "forty billion, three hundred thirty-two million, six hundred eighty-eight thousand, nine hundred".