40164432 has 80 divisors (see below), whose sum is σ = 129372672. Its totient is φ = 10431360.

The previous prime is 40164431. The next prime is 40164433. The reversal of 40164432 is 23446104.

It is an interprime number because it is at equal distance from previous prime (40164431) and next prime (40164433).

It is a super-2 number, since 2×40164432² = 3226363195765248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738 + ... + 9129.

Almost surely, 2^40164432 is an apocalyptic number.

40164432 is a gapful number since it is divisible by the number (42) 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 40164432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686336).

40164432 is an abundant number, since it is smaller than the sum of its proper divisors (89208240).

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

40164432 is a wasteful number, since it uses less digits than its factorization.

40164432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40164432 is about 6337.5414791542. The cubic root of 40164432 is about 342.4631732653.

It can be divided in two parts, 4016 and 4432, that added together give a palindrome (8448).

The spelling of 40164432 in words is "forty million, one hundred sixty-four thousand, four hundred thirty-two".