40413024 has 72 divisors (see below), whose sum is σ = 119940912. Its totient is φ = 12883200.

The previous prime is 40413017. The next prime is 40413059. The reversal of 40413024 is 42031404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40412988 and 40413006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3574 + ... + 9674.

It is an arithmetic number, because the mean of its divisors is an integer number (1665846).

Almost surely, 2^40413024 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 40413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59970456).

40413024 is an abundant number, since it is smaller than the sum of its proper divisors (79527888).

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

40413024 is a wasteful number, since it uses less digits than its factorization.

40413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40413024 is about 6357.1238779813. The cubic root of 40413024 is about 343.1682628321.

Adding to 40413024 its reverse (42031404), we get a palindrome (82444428).

The spelling of 40413024 in words is "forty million, four hundred thirteen thousand, twenty-four".