2344404133040 has 160 divisors (see below), whose sum is σ = 5791287369600. Its totient is φ = 880710082560.

The previous prime is 2344404133031. The next prime is 2344404133061. The reversal of 2344404133040 is 403314044432.

It is a junction number, because it is equal to n+sod(n) for n = 2344404132988 and 2344404133006.

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, 63846206 + ... + 63882914.

It is an arithmetic number, because the mean of its divisors is an integer number (36195546060).

Almost surely, 2^{2344404133040} is an apocalyptic number.

2344404133040 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 2344404133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895643684800).

2344404133040 is an abundant number, since it is smaller than the sum of its proper divisors (3446883236560).

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

2344404133040 is a wasteful number, since it uses less digits than its factorization.

2344404133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37375 (or 37369 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2344404133040 its reverse (403314044432), we get a palindrome (2747718177472).

The spelling of 2344404133040 in words is "two trillion, three hundred forty-four billion, four hundred four million, one hundred thirty-three thousand, forty".