40388940900 has 1215 divisors, whose sum is σ = 173376310107. Its totient is φ = 8103110400.

The previous prime is 40388940887. The next prime is 40388940919. The reversal of 40388940900 is 904988304.

It is a happy number.

The square root of 40388940900 is 200970.

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

40388940900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 555167844 + 39833773056 = 23562^2 + 199584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1392722086 + ... + 1392722114.

Almost surely, 2^40388940900 is an apocalyptic number.

40388940900 is the 200970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40388940900

40388940900 is an abundant number, since it is smaller than the sum of its proper divisors (132987369207).

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

40388940900 is a wasteful number, since it uses less digits than its factorization.

40388940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40388940900 in words is "forty billion, three hundred eighty-eight million, nine hundred forty thousand, nine hundred".