40009290100 has 36 divisors (see below), whose sum is σ = 93498636364. Its totient is φ = 14772660480.

The previous prime is 40009290089. The next prime is 40009290107. The reversal of 40009290100 is 109290004.

It can be written as a sum of positive squares in 6 ways, for example, as 9912591844 + 30096698256 = 99562^2 + 173484^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40009290107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15386889 + ... + 15389488.

Almost surely, 2^40009290100 is an apocalyptic number.

It is an amenable number.

40009290100 is an abundant number, since it is smaller than the sum of its proper divisors (53489346264).

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

40009290100 is a wasteful number, since it uses less digits than its factorization.

40009290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30776404 (or 30776397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 40009290100 in words is "forty billion, nine million, two hundred ninety thousand, one hundred".