40344452144000 has 384 divisors, whose sum is σ = 102135372768000. Its totient is φ = 15848530329600.

The previous prime is 40344452143951. The next prime is 40344452144137. The reversal of 40344452144000 is 44125444304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22936015121 + ... + 22936016879.

It is an arithmetic number, because the mean of its divisors is an integer number (265977533250).

Almost surely, 2^{40344452144000} is an apocalyptic number.

40344452144000 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 40344452144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51067686384000).

40344452144000 is an abundant number, since it is smaller than the sum of its proper divisors (61790920624000).

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

40344452144000 is an equidigital number, since it uses as much as digits as its factorization.

40344452144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 40344452144000 its reverse (44125444304), we get a palindrome (40388577588304).

The spelling of 40344452144000 in words is "forty trillion, three hundred forty-four billion, four hundred fifty-two million, one hundred forty-four thousand".