40344040320000 has 440 divisors, whose sum is σ = 136264473810432. Its totient is φ = 10606848000000.

The previous prime is 40344040319987. The next prime is 40344040320019. The reversal of 40344040320000 is 2304044304.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136172025 + ... + 136467975.

Almost surely, 2^{40344040320000} is an apocalyptic number.

40344040320000 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 40344040320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68132236905216).

40344040320000 is an abundant number, since it is smaller than the sum of its proper divisors (95920433490432).

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

40344040320000 is an equidigital number, since it uses as much as digits as its factorization.

40344040320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296065 (or 296032 counting only the distinct ones).

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

Adding to 40344040320000 its reverse (2304044304), we get a palindrome (40346344364304).

The spelling of 40344040320000 in words is "forty trillion, three hundred forty-four billion, forty million, three hundred twenty thousand".