40131360 has 216 divisors, whose sum is σ = 146388060. Its totient is φ = 9999360.

The previous prime is 40131349. The next prime is 40131361. The reversal of 40131360 is 6313104.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 138384 = 6324^2 + 372^2 .

It is a super-2 number, since 2×40131360² = 3221052110899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40131361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1294545 + ... + 1294575.

Almost surely, 2^40131360 is an apocalyptic number.

40131360 is a gapful number since it is divisible by the number (40) 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 40131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194030).

40131360 is an abundant number, since it is smaller than the sum of its proper divisors (106256700).

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

40131360 is a wasteful number, since it uses less digits than its factorization.

40131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40131360 is about 6334.9317281246. The cubic root of 40131360 is about 342.3691510041.

Adding to 40131360 its reverse (6313104), we get a palindrome (46444464).

The spelling of 40131360 in words is "forty million, one hundred thirty-one thousand, three hundred sixty".