40965760 has 144 divisors (see below), whose sum is σ = 112529970. Its totient is φ = 14248960.

The previous prime is 40965751. The next prime is 40965763. The reversal of 40965760 is 6756904.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 4096576 = 6072^2 + 2024^2 .

It is not an unprimeable number, because it can be changed into a prime (40965763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1781109 + ... + 1781131.

Almost surely, 2^40965760 is an apocalyptic number.

40965760 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 40965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56264985).

40965760 is an abundant number, since it is smaller than the sum of its proper divisors (71564210).

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

40965760 is a wasteful number, since it uses less digits than its factorization.

40965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 40965760 is about 6400.4499841808. The cubic root of 40965760 is about 344.7257079079.

Subtracting from 40965760 its reverse (6756904), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 40965760 in words is "forty million, nine hundred sixty-five thousand, seven hundred sixty".