40434412410432 has 280 divisors, whose sum is σ = 120851034944640. Its totient is φ = 13367018649600.

The previous prime is 40434412410391. The next prime is 40434412410433. The reversal of 40434412410432 is 23401421443404.

40434412410432 is a `hidden beast` number, since 40 + 4 + 344 + 1 + 241 + 0 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40434412410433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482935869 + ... + 483019587.

It is an arithmetic number, because the mean of its divisors is an integer number (431610839088).

Almost surely, 2^{40434412410432} 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 40434412410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425517472320).

40434412410432 is an abundant number, since it is smaller than the sum of its proper divisors (80416622534208).

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

40434412410432 is a wasteful number, since it uses less digits than its factorization.

40434412410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84511 (or 84492 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40434412410432 its reverse (23401421443404), we get a palindrome (63835833853836).

The spelling of 40434412410432 in words is "forty trillion, four hundred thirty-four billion, four hundred twelve million, four hundred ten thousand, four hundred thirty-two".