40013120 has 56 divisors (see below), whose sum is σ = 108898944. Its totient is φ = 13718016.

The previous prime is 40013117. The next prime is 40013153. The reversal of 40013120 is 2131004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 6692 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (1944624).

Almost surely, 2^40013120 is an apocalyptic number.

40013120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40013120 is an abundant number, since it is smaller than the sum of its proper divisors (68885824).

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

40013120 is a wasteful number, since it uses less digits than its factorization.

40013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17887 (or 17877 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 40013120 is about 6325.5924623706. The cubic root of 40013120 is about 342.0325767220.

Adding to 40013120 its reverse (2131004), we get a palindrome (42144124).

The spelling of 40013120 in words is "forty million, thirteen thousand, one hundred twenty".