40414164 has 48 divisors (see below), whose sum is σ = 108528000. Its totient is φ = 11465856.

The previous prime is 40414133. The next prime is 40414181. The reversal of 40414164 is 46141404.

40414164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10902 + ... + 14130.

It is an arithmetic number, because the mean of its divisors is an integer number (2261000).

Almost surely, 2^40414164 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 40414164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264000).

40414164 is an abundant number, since it is smaller than the sum of its proper divisors (68113836).

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

40414164 is a wasteful number, since it uses less digits than its factorization.

40414164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40414164 is about 6357.2135405380. The cubic root of 40414164 is about 343.1714895818.

Adding to 40414164 its reverse (46141404), we get a palindrome (86555568).

The spelling of 40414164 in words is "forty million, four hundred fourteen thousand, one hundred sixty-four".