44034010042400 has 288 divisors, whose sum is σ = 123998356597248. Its totient is φ = 14956978176000.

The previous prime is 44034010042357. The next prime is 44034010042403. The reversal of 44034010042400 is 424001043044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 44034010042400.

It is not an unprimeable number, because it can be changed into a prime (44034010042403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507947800 + ... + 1507977000.

It is an arithmetic number, because the mean of its divisors is an integer number (430549849296).

Almost surely, 2^{44034010042400} is an apocalyptic number.

44034010042400 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 44034010042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61999178298624).

44034010042400 is an abundant number, since it is smaller than the sum of its proper divisors (79964346554848).

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

44034010042400 is a wasteful number, since it uses less digits than its factorization.

44034010042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31724 (or 31711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 44034010042400 its reverse (424001043044), we get a palindrome (44458011085444).

The spelling of 44034010042400 in words is "forty-four trillion, thirty-four billion, ten million, forty-two thousand, four hundred".