44134024000000 has 840 divisors, whose sum is σ = 122451532600320. Its totient is φ = 15878016000000.

The previous prime is 44134023999977. The next prime is 44134024000043. The reversal of 44134024000000 is 42043144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 122935999821 + ... + 122936000179.

It is an arithmetic number, because the mean of its divisors is an integer number (145775634048).

Almost surely, 2^{44134024000000} is an apocalyptic number.

44134024000000 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 44134024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61225766300160).

44134024000000 is an abundant number, since it is smaller than the sum of its proper divisors (78317508600320).

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

44134024000000 is an frugal number, since it uses more digits than its factorization.

44134024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44134024000000 its reverse (42043144), we get a palindrome (44134066043144).

The spelling of 44134024000000 in words is "forty-four trillion, one hundred thirty-four billion, twenty-four million", and thus it is an aban number.