40729024 has 56 divisors (see below), whose sum is σ = 93004640. Its totient is φ = 17335296.

The previous prime is 40728979. The next prime is 40729033. The reversal of 40729024 is 42092704.

40729024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×40729024³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40728983 and 40729001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102394 + ... + 102790.

Almost surely, 2^40729024 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 40729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502320).

40729024 is an abundant number, since it is smaller than the sum of its proper divisors (52275616).

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

40729024 is a wasteful number, since it uses less digits than its factorization.

40729024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40729024 is about 6381.9294887988. The cubic root of 40729024 is about 344.0603824057.

The spelling of 40729024 in words is "forty million, seven hundred twenty-nine thousand, twenty-four".