44135161070000 has 400 divisors, whose sum is σ = 143470540131072. Its totient is φ = 12698225280000.

The previous prime is 44135161069957. The next prime is 44135161070003. The reversal of 44135161070000 is 7016153144.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (44135161070003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7805447 + ... + 12214553.

Almost surely, 2^{44135161070000} is an apocalyptic number.

44135161070000 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 44135161070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71735270065536).

44135161070000 is an abundant number, since it is smaller than the sum of its proper divisors (99335379061072).

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

44135161070000 is a wasteful number, since it uses less digits than its factorization.

44135161070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409166 (or 4409145 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 44135161070000 in words is "forty-four trillion, one hundred thirty-five billion, one hundred sixty-one million, seventy thousand".