40709760 has 256 divisors, whose sum is σ = 160392960. Its totient is φ = 8552448.

The previous prime is 40709759. The next prime is 40709771. The reversal of 40709760 is 6790704.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 466 × 210 × 416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174604 + ... + 174836.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^40709760 is an apocalyptic number.

40709760 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 40709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

40709760 is an abundant number, since it is smaller than the sum of its proper divisors (119683200).

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

40709760 is a wasteful number, since it uses less digits than its factorization.

40709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 40709760 is about 6380.4200488683. The cubic root of 40709760 is about 344.0061293301.

The spelling of 40709760 in words is "forty million, seven hundred nine thousand, seven hundred sixty".