1040416164 has 72 divisors (see below), whose sum is σ = 2793973728. Its totient is φ = 338333760.

The previous prime is 1040416163. The next prime is 1040416187. The reversal of 1040416164 is 4616140401.

1040416164 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 41 + 616 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1040416163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26799 + ... + 52905.

Almost surely, 2^1040416164 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 1040416164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396986864).

1040416164 is an abundant number, since it is smaller than the sum of its proper divisors (1753557564).

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

1040416164 is a wasteful number, since it uses less digits than its factorization.

1040416164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26167 (or 26153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1040416164 is about 32255.4826967448. The cubic root of 1040416164 is about 1013.2945269746.

Adding to 1040416164 its reverse (4616140401), we get a palindrome (5656556565).

The spelling of 1040416164 in words is "one billion, forty million, four hundred sixteen thousand, one hundred sixty-four".