40100832 has 108 divisors (see below), whose sum is σ = 119036736. Its totient is φ = 13296960.

The previous prime is 40100831. The next prime is 40100839. The reversal of 40100832 is 23800104.

It is a happy number.

40100832 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 (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100831) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 209857 + ... + 210047.

It is an arithmetic number, because the mean of its divisors is an integer number (1102192).

Almost surely, 2^40100832 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 40100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59518368).

40100832 is an abundant number, since it is smaller than the sum of its proper divisors (78935904).

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

40100832 is an frugal number, since it uses more digits than its factorization.

40100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40100832 is about 6332.5217725642. The cubic root of 40100832 is about 342.2823153656.

Adding to 40100832 its reverse (23800104), we get a palindrome (63900936).

The spelling of 40100832 in words is "forty million, one hundred thousand, eight hundred thirty-two".