2133414424344 has 128 divisors (see below), whose sum is σ = 6213113786880. Its totient is φ = 597874867200.

The previous prime is 2133414424327. The next prime is 2133414424373. The reversal of 2133414424344 is 4434244143312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 1739239 + ... + 2700329.

It is an arithmetic number, because the mean of its divisors is an integer number (48539951460).

Almost surely, 2^{2133414424344} is an apocalyptic number.

2133414424344 is a gapful number since it is divisible by the number (24) 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 2133414424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106556893440).

2133414424344 is an abundant number, since it is smaller than the sum of its proper divisors (4079699362536).

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

2133414424344 is a wasteful number, since it uses less digits than its factorization.

2133414424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961361 (or 961357 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 2133414424344 its reverse (4434244143312), we get a palindrome (6567658567656).

The spelling of 2133414424344 in words is "two trillion, one hundred thirty-three billion, four hundred fourteen million, four hundred twenty-four thousand, three hundred forty-four".