40104045432 has 336 divisors, whose sum is σ = 131250762720. Its totient is φ = 11434452480.

The previous prime is 40104045431. The next prime is 40104045467. The reversal of 40104045432 is 23454040104.

It is a happy number.

40104045432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40104045396 and 40104045405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104045431) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11994753 + ... + 11998095.

It is an arithmetic number, because the mean of its divisors is an integer number (390627270).

Almost surely, 2^40104045432 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 40104045432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65625381360).

40104045432 is an abundant number, since it is smaller than the sum of its proper divisors (91146717288).

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

40104045432 is a wasteful number, since it uses less digits than its factorization.

40104045432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40104045432 its reverse (23454040104), we get a palindrome (63558085536).

The spelling of 40104045432 in words is "forty billion, one hundred four million, forty-five thousand, four hundred thirty-two".