40409296 has 40 divisors (see below), whose sum is σ = 82171080. Its totient is φ = 19224576.

The previous prime is 40409279. The next prime is 40409309. The reversal of 40409296 is 69290404.

It can be written as a sum of positive squares in 4 ways, for example, as 7507600 + 32901696 = 2740^2 + 5736^2 .

It is a super-2 number, since 2×40409296² = 3265822406431232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33276 + ... + 34468.

It is an arithmetic number, because the mean of its divisors is an integer number (2054277).

Almost surely, 2^40409296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40409296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085540).

40409296 is an abundant number, since it is smaller than the sum of its proper divisors (41761784).

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

40409296 is a wasteful number, since it uses less digits than its factorization.

40409296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 40409296 is about 6356.8306568604. The cubic root of 40409296 is about 343.1577103707.

The spelling of 40409296 in words is "forty million, four hundred nine thousand, two hundred ninety-six".