12310041440 has 96 divisors (see below), whose sum is σ = 29506498560. Its totient is φ = 4852721664.

The previous prime is 12310041437. The next prime is 12310041467. The reversal of 12310041440 is 4414001321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3433889 + ... + 3437471.

It is an arithmetic number, because the mean of its divisors is an integer number (307359360).

Almost surely, 2^12310041440 is an apocalyptic number.

12310041440 is a gapful number since it is divisible by the number (10) 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 12310041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

12310041440 is an abundant number, since it is smaller than the sum of its proper divisors (17196457120).

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

12310041440 is a wasteful number, since it uses less digits than its factorization.

12310041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12310041440 its reverse (4414001321), we get a palindrome (16724042761).

The spelling of 12310041440 in words is "twelve billion, three hundred ten million, forty-one thousand, four hundred forty".