40189824 has 128 divisors (see below), whose sum is σ = 123012000. Its totient is φ = 12902400.

The previous prime is 40189817. The next prime is 40189829. The reversal of 40189824 is 42898104.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40189829) 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, 100024 + ... + 100424.

Almost surely, 2^40189824 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 40189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61506000).

40189824 is an abundant number, since it is smaller than the sum of its proper divisors (82822176).

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

40189824 is a wasteful number, since it uses less digits than its factorization.

40189824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 40189824 is about 6339.5444631298. The cubic root of 40189824 is about 342.5353265993.

The spelling of 40189824 in words is "forty million, one hundred eighty-nine thousand, eight hundred twenty-four".