1340744678400 has 264 divisors, whose sum is σ = 4534294044544. Its totient is φ = 349216358400.

The previous prime is 1340744678369. The next prime is 1340744678423. The reversal of 1340744678400 is 48764470431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1340744678400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099405 + ... + 3505395.

Almost surely, 2^{1340744678400} is an apocalyptic number.

1340744678400 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 1340744678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267147022272).

1340744678400 is an abundant number, since it is smaller than the sum of its proper divisors (3193549366144).

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

1340744678400 is a wasteful number, since it uses less digits than its factorization.

1340744678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406067 (or 406044 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 1340744678400 in words is "one trillion, three hundred forty billion, seven hundred forty-four million, six hundred seventy-eight thousand, four hundred".