2012444302440 has 256 divisors, whose sum is σ = 7096223635200. Its totient is φ = 450120499200.

The previous prime is 2012444302423. The next prime is 2012444302447. The reversal of 2012444302440 is 442034442102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2012444302398 and 2012444302407.

It is not an unprimeable number, because it can be changed into a prime (2012444302447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37055626 + ... + 37109894.

It is an arithmetic number, because the mean of its divisors is an integer number (27719623575).

Almost surely, 2^{2012444302440} is an apocalyptic number.

2012444302440 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 2012444302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548111817600).

2012444302440 is an abundant number, since it is smaller than the sum of its proper divisors (5083779332760).

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

2012444302440 is a wasteful number, since it uses less digits than its factorization.

2012444302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56468 (or 56464 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2012444302440 its reverse (442034442102), we get a palindrome (2454478744542).

The spelling of 2012444302440 in words is "two trillion, twelve billion, four hundred forty-four million, three hundred two thousand, four hundred forty".