1340467598400 has 1344 divisors, whose sum is σ = 5551358976000. Its totient is φ = 281957007360.

The previous prime is 1340467598399. The next prime is 1340467598453. The reversal of 1340467598400 is 48957640431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1315473091 + ... + 1315474109.

Almost surely, 2^{1340467598400} is an apocalyptic number.

1340467598400 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 1340467598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775679488000).

1340467598400 is an abundant number, since it is smaller than the sum of its proper divisors (4210891377600).

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

1340467598400 is a wasteful number, since it uses less digits than its factorization.

1340467598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1340467598400 in words is "one trillion, three hundred forty billion, four hundred sixty-seven million, five hundred ninety-eight thousand, four hundred".