44452412114000 has 640 divisors, whose sum is σ = 119934288714240. Its totient is φ = 15801225216000.

The previous prime is 44452412113937. The next prime is 44452412114009. The reversal of 44452412114000 is 41121425444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44452412114009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68074137674 + ... + 68074138326.

It is an arithmetic number, because the mean of its divisors is an integer number (187397326116).

Almost surely, 2^{44452412114000} is an apocalyptic number.

44452412114000 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 44452412114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59967144357120).

44452412114000 is an abundant number, since it is smaller than the sum of its proper divisors (75481876600240).

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

44452412114000 is a wasteful number, since it uses less digits than its factorization.

44452412114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 44452412114000 its reverse (41121425444), we get a palindrome (44493533539444).

The spelling of 44452412114000 in words is "forty-four trillion, four hundred fifty-two billion, four hundred twelve million, one hundred fourteen thousand".