2034132320440 has 128 divisors (see below), whose sum is σ = 5047283404800. Its totient is φ = 731640222720.

The previous prime is 2034132320417. The next prime is 2034132320471. The reversal of 2034132320440 is 440232314302.

It is a junction number, because it is equal to n+sod(n) for n = 2034132320399 and 2034132320408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39085156 + ... + 39137164.

It is an arithmetic number, because the mean of its divisors is an integer number (39431901600).

Almost surely, 2^{2034132320440} is an apocalyptic number.

2034132320440 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 2034132320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523641702400).

2034132320440 is an abundant number, since it is smaller than the sum of its proper divisors (3013151084360).

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

2034132320440 is a wasteful number, since it uses less digits than its factorization.

2034132320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52997 (or 52993 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2034132320440 its reverse (440232314302), we get a palindrome (2474364634742).

The spelling of 2034132320440 in words is "two trillion, thirty-four billion, one hundred thirty-two million, three hundred twenty thousand, four hundred forty".