40093900 has 144 divisors (see below), whose sum is σ = 111992832. Its totient is φ = 12096000.

The previous prime is 40093891. The next prime is 40093919. The reversal of 40093900 is 939004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315637 + ... + 315763.

It is an arithmetic number, because the mean of its divisors is an integer number (777728).

Almost surely, 2^40093900 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 40093900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996416).

40093900 is an abundant number, since it is smaller than the sum of its proper divisors (71898932).

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

40093900 is a wasteful number, since it uses less digits than its factorization.

40093900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 40093900 is about 6331.9744156148. The cubic root of 40093900 is about 342.2625914379.

The spelling of 40093900 in words is "forty million, ninety-three thousand, nine hundred".