1340233410096 has 320 divisors, whose sum is σ = 4489409802240. Its totient is φ = 374866652160.

The previous prime is 1340233410083. The next prime is 1340233410101. The reversal of 1340233410096 is 6900143320431.

1340233410096 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 233 + 410 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1340233410096.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74196906 + ... + 74214966.

It is an arithmetic number, because the mean of its divisors is an integer number (14029405632).

Almost surely, 2^{1340233410096} is an apocalyptic number.

1340233410096 is a gapful number since it is divisible by the number (16) 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 1340233410096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244704901120).

1340233410096 is an abundant number, since it is smaller than the sum of its proper divisors (3149176392144).

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

1340233410096 is a wasteful number, since it uses less digits than its factorization.

1340233410096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18601 (or 18589 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1340233 and 410096, that added together give a square (1750329 = 1323²).

The spelling of 1340233410096 in words is "one trillion, three hundred forty billion, two hundred thirty-three million, four hundred ten thousand, ninety-six".