44014323300400 has 240 divisors, whose sum is σ = 117873837511200. Its totient is φ = 15695818260480.

The previous prime is 44014323300391. The next prime is 44014323300413. The reversal of 44014323300400 is 400332341044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153607724 + ... + 1153645876.

It is an arithmetic number, because the mean of its divisors is an integer number (491140989630).

Almost surely, 2^{44014323300400} is an apocalyptic number.

44014323300400 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 44014323300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58936918755600).

44014323300400 is an abundant number, since it is smaller than the sum of its proper divisors (73859514210800).

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

44014323300400 is a wasteful number, since it uses less digits than its factorization.

44014323300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47136 (or 47125 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 44014323300400 its reverse (400332341044), we get a palindrome (44414655641444).

The spelling of 44014323300400 in words is "forty-four trillion, fourteen billion, three hundred twenty-three million, three hundred thousand, four hundred".