40004304432000 has 512 divisors, whose sum is σ = 138990581683200. Its totient is φ = 10158981324800.

The previous prime is 40004304431989. The next prime is 40004304432017. The reversal of 40004304432000 is 23440340004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250528186 + ... + 250687814.

It is an arithmetic number, because the mean of its divisors is an integer number (271465979850).

Almost surely, 2^{40004304432000} is an apocalyptic number.

40004304432000 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 40004304432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495290841600).

40004304432000 is an abundant number, since it is smaller than the sum of its proper divisors (98986277251200).

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

40004304432000 is a wasteful number, since it uses less digits than its factorization.

40004304432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159911 (or 159889 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40004304432000 its reverse (23440340004), we get a palindrome (40027744772004).

The spelling of 40004304432000 in words is "forty trillion, four billion, three hundred four million, four hundred thirty-two thousand".