40013829 has 24 divisors (see below), whose sum is σ = 61183200. Its totient is φ = 25129440.

The previous prime is 40013803. The next prime is 40013843. The reversal of 40013829 is 92831004.

It is not a de Polignac number, because 40013829 - 2⁵ = 40013797 is a prime.

It is a super-2 number, since 2×40013829² = 3202213022482482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35527 + ... + 36635.

It is an arithmetic number, because the mean of its divisors is an integer number (2549300).

Almost surely, 2^40013829 is an apocalyptic number.

It is an amenable number.

40013829 is a deficient number, since it is larger than the sum of its proper divisors (21169371).

40013829 is a wasteful number, since it uses less digits than its factorization.

40013829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40013829 is about 6325.6485043037. The cubic root of 40013829 is about 342.0345968899.

The spelling of 40013829 in words is "forty million, thirteen thousand, eight hundred twenty-nine".