40365160 has 64 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 14572800.

The previous prime is 40365121. The next prime is 40365163. The reversal of 40365160 is 6156304.

It is a super-2 number, since 2×40365160² = 3258692283651200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40365163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87330 + ... + 87790.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 2^40365160 is an apocalyptic number.

40365160 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 40365160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

40365160 is an abundant number, since it is smaller than the sum of its proper divisors (59426840).

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

40365160 is a wasteful number, since it uses less digits than its factorization.

40365160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 40365160 is about 6353.3581671428. The cubic root of 40365160 is about 343.0327298367.

Subtracting from 40365160 its reverse (6156304), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 40365160 in words is "forty million, three hundred sixty-five thousand, one hundred sixty".