40538240 has 64 divisors (see below), whose sum is σ = 98060760. Its totient is φ = 16023552.

The previous prime is 40538237. The next prime is 40538243. The reversal of 40538240 is 4283504.

It is an interprime number because it is at equal distance from previous prime (40538237) and next prime (40538243).

It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 14077504 = 5144^2 + 3752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40538243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61754 + ... + 62406.

Almost surely, 2^40538240 is an apocalyptic number.

40538240 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 40538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49030380).

40538240 is an abundant number, since it is smaller than the sum of its proper divisors (57522520).

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

40538240 is an equidigital number, since it uses as much as digits as its factorization.

40538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 40538240 is about 6366.9647399683. The cubic root of 40538240 is about 343.5223224025.

It can be divided in two parts, 40 and 538240, that multiplied together give a square (21529600 = 4640²).

The spelling of 40538240 in words is "forty million, five hundred thirty-eight thousand, two hundred forty".