40188096 has 112 divisors (see below), whose sum is σ = 127304800. Its totient is φ = 12358656.

The previous prime is 40188091. The next prime is 40188103. The reversal of 40188096 is 69088104.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40188096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40188091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21570 + ... + 23358.

It is an arithmetic number, because the mean of its divisors is an integer number (1136650).

Almost surely, 2^40188096 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 40188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63652400).

40188096 is an abundant number, since it is smaller than the sum of its proper divisors (87116704).

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

40188096 is a wasteful number, since it uses less digits than its factorization.

40188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40188096 is about 6339.4081742699. The cubic root of 40188096 is about 342.5304173174.

The spelling of 40188096 in words is "forty million, one hundred eighty-eight thousand, ninety-six".