2344431121040 has 80 divisors (see below), whose sum is σ = 5502358397952. Its totient is φ = 928931945472.

The previous prime is 2344431121007. The next prime is 2344431121061. The reversal of 2344431121040 is 401211344432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2344431121040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2344431120994 and 2344431121012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4889297 + ... + 5347343.

Almost surely, 2^{2344431121040} is an apocalyptic number.

2344431121040 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 2344431121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751179198976).

2344431121040 is an abundant number, since it is smaller than the sum of its proper divisors (3157927276912).

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

2344431121040 is a wasteful number, since it uses less digits than its factorization.

2344431121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458664 (or 458658 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2344431121040 its reverse (401211344432), we get a palindrome (2745642465472).

The spelling of 2344431121040 in words is "two trillion, three hundred forty-four billion, four hundred thirty-one million, one hundred twenty-one thousand, forty".