40407164 has 72 divisors (see below), whose sum is σ = 88884432. Its totient is φ = 15966720.

The previous prime is 40407163. The next prime is 40407173. The reversal of 40407164 is 46170404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40407163) 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 23 ways as a sum of consecutive naturals, for example, 223154 + ... + 223334.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 2^40407164 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 40407164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442216).

40407164 is an abundant number, since it is smaller than the sum of its proper divisors (48477268).

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

40407164 is a wasteful number, since it uses less digits than its factorization.

40407164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 40407164 is about 6356.6629610197. The cubic root of 40407164 is about 343.1516752486.

Adding to 40407164 its reverse (46170404), we get a palindrome (86577568).

The spelling of 40407164 in words is "forty million, four hundred seven thousand, one hundred sixty-four".