40164240 has 80 divisors (see below), whose sum is σ = 127902528. Its totient is φ = 10418688.

The previous prime is 40164227. The next prime is 40164253. The reversal of 40164240 is 4246104.

It is an interprime number because it is at equal distance from previous prime (40164227) and next prime (40164253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40164240² = 3226332349555200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6619 + ... + 11141.

Almost surely, 2^40164240 is an apocalyptic number.

40164240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63951264).

40164240 is an abundant number, since it is smaller than the sum of its proper divisors (87738288).

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

40164240 is a wasteful number, since it uses less digits than its factorization.

40164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40164240 is about 6337.5263313062. The cubic root of 40164240 is about 342.4626275666.

It can be divided in two parts, 40164 and 240, that added together give a palindrome (40404).

The spelling of 40164240 in words is "forty million, one hundred sixty-four thousand, two hundred forty".