40309776 has 120 divisors (see below), whose sum is σ = 123830616. Its totient is φ = 12165120.

The previous prime is 40309769. The next prime is 40309781. The reversal of 40309776 is 67790304.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 39388176 = 960^2 + 6276^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40309776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114016 + ... + 114368.

Almost surely, 2^40309776 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 40309776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61915308).

40309776 is an abundant number, since it is smaller than the sum of its proper divisors (83520840).

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

40309776 is a wasteful number, since it uses less digits than its factorization.

40309776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 40309776 is about 6348.9980311857. The cubic root of 40309776 is about 342.8757692262.

The spelling of 40309776 in words is "forty million, three hundred nine thousand, seven hundred seventy-six".