40013736 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 10725120.

The previous prime is 40013731. The next prime is 40013759. The reversal of 40013736 is 63731004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40013731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209401 + ... + 209591.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 2^40013736 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 40013736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

40013736 is an abundant number, since it is smaller than the sum of its proper divisors (81637464).

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

40013736 is a wasteful number, since it uses less digits than its factorization.

40013736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 40013736 is about 6325.6411532745. The cubic root of 40013736 is about 342.0343319045.

The spelling of 40013736 in words is "forty million, thirteen thousand, seven hundred thirty-six".