1340468417120 has 192 divisors, whose sum is σ = 3897117826560. Its totient is φ = 425222725632.

The previous prime is 1340468417087. The next prime is 1340468417149. The reversal of 1340468417120 is 217148640431.

It is a congruent number.

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, 526727 + ... + 1719993.

It is an arithmetic number, because the mean of its divisors is an integer number (20297488680).

Almost surely, 2^{1340468417120} is an apocalyptic number.

1340468417120 is a gapful number since it is divisible by the number (10) 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 1340468417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948558913280).

1340468417120 is an abundant number, since it is smaller than the sum of its proper divisors (2556649409440).

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

1340468417120 is a wasteful number, since it uses less digits than its factorization.

1340468417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193365 (or 1193357 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 1340468417120 in words is "one trillion, three hundred forty billion, four hundred sixty-eight million, four hundred seventeen thousand, one hundred twenty".