2413402220430 has 192 divisors, whose sum is σ = 6533603721216. Its totient is φ = 617404032000.

The previous prime is 2413402220423. The next prime is 2413402220441. The reversal of 2413402220430 is 340222043142.

2413402220430 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 0 + 2 + 220 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2413402220394 and 2413402220403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641689750 + ... + 641693510.

It is an arithmetic number, because the mean of its divisors is an integer number (34029186048).

Almost surely, 2^{2413402220430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413402220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266801860608).

2413402220430 is an abundant number, since it is smaller than the sum of its proper divisors (4120201500786).

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

2413402220430 is a wasteful number, since it uses less digits than its factorization.

2413402220430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2413402220430 its reverse (340222043142), we get a palindrome (2753624263572).

The spelling of 2413402220430 in words is "two trillion, four hundred thirteen billion, four hundred two million, two hundred twenty thousand, four hundred thirty".