40414032 has 80 divisors (see below), whose sum is σ = 122849280. Its totient is φ = 12676608.

The previous prime is 40414009. The next prime is 40414061. The reversal of 40414032 is 23041404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40413996 and 40414014.

It is a congruent number.

It is an unprimeable number.

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, 4593 + ... + 10095.

It is an arithmetic number, because the mean of its divisors is an integer number (1535616).

Almost surely, 2^40414032 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 40414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61424640).

40414032 is an abundant number, since it is smaller than the sum of its proper divisors (82435248).

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

40414032 is a wasteful number, since it uses less digits than its factorization.

40414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40414032 is about 6357.2031586225. The cubic root of 40414032 is about 343.1711159613.

Adding to 40414032 its reverse (23041404), we get a palindrome (63455436).

The spelling of 40414032 in words is "forty million, four hundred fourteen thousand, thirty-two".