40404432000 has 256 divisors, whose sum is σ = 134354563200. Its totient is φ = 10741248000.

The previous prime is 40404431999. The next prime is 40404432031. The reversal of 40404432000 is 23440404.

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 31 ways as a sum of consecutive naturals, for example, 18190890 + ... + 18193110.

Almost surely, 2^40404432000 is an apocalyptic number.

40404432000 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 40404432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67177281600).

40404432000 is an abundant number, since it is smaller than the sum of its proper divisors (93950131200).

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

40404432000 is a wasteful number, since it uses less digits than its factorization.

40404432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40404432000 its reverse (23440404), we get a palindrome (40427872404).

The spelling of 40404432000 in words is "forty billion, four hundred four million, four hundred thirty-two thousand".