2144426034000 has 320 divisors, whose sum is σ = 7103544844032. Its totient is φ = 556222464000.

The previous prime is 2144426033929. The next prime is 2144426034103. The reversal of 2144426034000 is 4306244412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82889067 + ... + 82914933.

Almost surely, 2^{2144426034000} is an apocalyptic number.

2144426034000 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 2144426034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551772422016).

2144426034000 is an abundant number, since it is smaller than the sum of its proper divisors (4959118810032).

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

2144426034000 is a wasteful number, since it uses less digits than its factorization.

2144426034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26271 (or 26255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2144426034000 in words is "two trillion, one hundred forty-four billion, four hundred twenty-six million, thirty-four thousand".