2412314322440 has 128 divisors (see below), whose sum is σ = 6073964392320. Its totient is φ = 854665728000.

The previous prime is 2412314322427. The next prime is 2412314322487. The reversal of 2412314322440 is 442234132142.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2412314322397 and 2412314322406.

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, 7427942 + ... + 7745898.

It is an arithmetic number, because the mean of its divisors is an integer number (47452846815).

Almost surely, 2^{2412314322440} is an apocalyptic number.

2412314322440 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 2412314322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036982196160).

2412314322440 is an abundant number, since it is smaller than the sum of its proper divisors (3661650069880).

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

2412314322440 is a wasteful number, since it uses less digits than its factorization.

2412314322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318423 (or 318419 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2412314322440 its reverse (442234132142), we get a palindrome (2854548454582).

The spelling of 2412314322440 in words is "two trillion, four hundred twelve billion, three hundred fourteen million, three hundred twenty-two thousand, four hundred forty".