1340830792224 has 768 divisors, whose sum is σ = 5150283264000. Its totient is φ = 328786698240.

The previous prime is 1340830792181. The next prime is 1340830792267. The reversal of 1340830792224 is 4222970380431.

1340830792224 is a `hidden beast` number, since 1 + 34 + 0 + 8 + 307 + 92 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (1340830792181) and next prime (1340830792267).

It is a self number, because there is not a number n which added to its sum of digits gives 1340830792224.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395640322 + ... + 395643710.

It is an arithmetic number, because the mean of its divisors is an integer number (6706098000).

Almost surely, 2^{1340830792224} is an apocalyptic number.

1340830792224 is a gapful number since it is divisible by the number (14) 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 1340830792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575141632000).

1340830792224 is an abundant number, since it is smaller than the sum of its proper divisors (3809452471776).

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

1340830792224 is a wasteful number, since it uses less digits than its factorization.

1340830792224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 13408307 and 92224, that added together give a palindrome (13500531).

The spelling of 1340830792224 in words is "one trillion, three hundred forty billion, eight hundred thirty million, seven hundred ninety-two thousand, two hundred twenty-four".