40818960 has 360 divisors, whose sum is σ = 173660760. Its totient is φ = 8515584.

The previous prime is 40818959. The next prime is 40818961. The reversal of 40818960 is 6981804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40818959) and next prime (40818961).

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 40755456 = 252^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40818961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458596 + ... + 458684.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^40818960 is an apocalyptic number.

40818960 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 40818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

40818960 is an abundant number, since it is smaller than the sum of its proper divisors (132841800).

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

40818960 is a wasteful number, since it uses less digits than its factorization.

40818960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40818960 is about 6388.9717482550. The cubic root of 40818960 is about 344.3134424553.

It can be divided in two parts, 4081 and 8960, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 40818960 in words is "forty million, eight hundred eighteen thousand, nine hundred sixty".