40265990100 has 324 divisors, whose sum is σ = 148346809884. Its totient is φ = 9107804160.

The previous prime is 40265990081. The next prime is 40265990119. The reversal of 40265990100 is 109956204.

40265990100 is a `hidden beast` number, since 40 + 26 + 599 + 0 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40265990081) and next prime (40265990119).

It can be written as a sum of positive squares in 6 ways, for example, as 1663171524 + 38602818576 = 40782^2 + 196476^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4272994 + ... + 4282406.

Almost surely, 2^40265990100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40265990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173404942).

40265990100 is an abundant number, since it is smaller than the sum of its proper divisors (108080819784).

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

40265990100 is a wasteful number, since it uses less digits than its factorization.

40265990100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 40265990100 in words is "forty billion, two hundred sixty-five million, nine hundred ninety thousand, one hundred".