40729920 has 448 divisors, whose sum is σ = 175564800. Its totient is φ = 7741440.

The previous prime is 40729907. The next prime is 40729937. The reversal of 40729920 is 2992704.

40729920 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 1404466 + ... + 1404494.

Almost surely, 2^40729920 is an apocalyptic number.

40729920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

40729920 is an abundant number, since it is smaller than the sum of its proper divisors (134834880).

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

40729920 is a wasteful number, since it uses less digits than its factorization.

40729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 40729920 is about 6381.9996866186. Note that the first 3 decimals coincide. The cubic root of 40729920 is about 344.0629053882.

The spelling of 40729920 in words is "forty million, seven hundred twenty-nine thousand, nine hundred twenty".