244435134000000 has 448 divisors, whose sum is σ = 830465719902720. Its totient is φ = 63666758400000.

The previous prime is 244435133999983. The next prime is 244435134000007. The reversal of 244435134000000 is 431534442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244435134000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 257526289 + ... + 258473711.

Almost surely, 2^{244435134000000} is an apocalyptic number.

244435134000000 is a gapful number since it is divisible by the number (20) 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 244435134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415232859951360).

244435134000000 is an abundant number, since it is smaller than the sum of its proper divisors (586030585902720).

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

244435134000000 is an frugal number, since it uses more digits than its factorization.

244435134000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947513 (or 947476 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 244435134000000 its reverse (431534442), we get a palindrome (244435565534442).

The spelling of 244435134000000 in words is "two hundred forty-four trillion, four hundred thirty-five billion, one hundred thirty-four million", and thus it is an aban number.