1040116164 has 96 divisors (see below), whose sum is σ = 2630369280. Its totient is φ = 318826368.

The previous prime is 1040116163. The next prime is 1040116169. The reversal of 1040116164 is 4616110401.

It is a super-2 number, since 2×1040116164² = 2163683269228149792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040116163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715517 + ... + 2715899.

It is an arithmetic number, because the mean of its divisors is an integer number (27399680).

Almost surely, 2^1040116164 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 1040116164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315184640).

1040116164 is an abundant number, since it is smaller than the sum of its proper divisors (1590253116).

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

1040116164 is a wasteful number, since it uses less digits than its factorization.

1040116164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1040116164 is about 32250.8319892681. The cubic root of 1040116164 is about 1013.1971244187.

Adding to 1040116164 its reverse (4616110401), we get a palindrome (5656226565).

It can be divided in two parts, 10401 and 16164, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 1040116164 in words is "one billion, forty million, one hundred sixteen thousand, one hundred sixty-four".