40309760 has 44 divisors (see below), whose sum is σ = 96708468. Its totient is φ = 16121856.

The previous prime is 40309751. The next prime is 40309769. The reversal of 40309760 is 6790304.

It is an interprime number because it is at equal distance from previous prime (40309751) and next prime (40309769).

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 33918976 = 2528^2 + 5824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40309769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1184 + ... + 9056.

Almost surely, 2^40309760 is an apocalyptic number.

40309760 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 40309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48354234).

40309760 is an abundant number, since it is smaller than the sum of its proper divisors (56398708).

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

40309760 is an equidigital number, since it uses as much as digits as its factorization.

40309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 40309760 is about 6348.9967711442. The cubic root of 40309760 is about 342.8757238607.

It can be divided in two parts, 40 and 309760, that multiplied together give a square (12390400 = 3520²).

The spelling of 40309760 in words is "forty million, three hundred nine thousand, seven hundred sixty".