40329900 has 180 divisors, whose sum is σ = 141157632. Its totient is φ = 9901440.

The previous prime is 40329881. The next prime is 40329929. The reversal of 40329900 is 992304.

40329900 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 105109 + ... + 105491.

Almost surely, 2^40329900 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 40329900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70578816).

40329900 is an abundant number, since it is smaller than the sum of its proper divisors (100827732).

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

40329900 is a wasteful number, since it uses less digits than its factorization.

40329900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40329900 is about 6350.5826504345. The cubic root of 40329900 is about 342.9328181172.

It can be divided in two parts, 403 and 29900, that added together give a palindrome (30303).

The spelling of 40329900 in words is "forty million, three hundred twenty-nine thousand, nine hundred".