40132092 has 144 divisors (see below), whose sum is σ = 126911232. Its totient is φ = 9584640.

The previous prime is 40132091. The next prime is 40132093. The reversal of 40132092 is 29023104.

It is an interprime number because it is at equal distance from previous prime (40132091) and next prime (40132093).

It is a super-2 number, since 2×40132092² = 3221169616592928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156028 + ... + 156284.

It is an arithmetic number, because the mean of its divisors is an integer number (881328).

Almost surely, 2^40132092 is an apocalyptic number.

40132092 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63455616).

40132092 is an abundant number, since it is smaller than the sum of its proper divisors (86779140).

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

40132092 is a wasteful number, since it uses less digits than its factorization.

40132092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40132092 is about 6334.9895027537. The cubic root of 40132092 is about 342.3712326073.

Adding to 40132092 its reverse (29023104), we get a palindrome (69155196).

It can be divided in two parts, 4013 and 2092, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 40132092 in words is "forty million, one hundred thirty-two thousand, ninety-two".