1340080459200 has 882 divisors, whose sum is σ = 5751302859576. Its totient is φ = 306291041280.

The previous prime is 1340080459189. The next prime is 1340080459213. The reversal of 1340080459200 is 29540800431.

1340080459200 is a `hidden beast` number, since 1 + 3 + 400 + 8 + 0 + 45 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (882).

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

It is a congruent number.

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 125 ways as a sum of consecutive naturals, for example, 57141877 + ... + 57165323.

Almost surely, 2^{1340080459200} is an apocalyptic number.

1340080459200 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 1340080459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875651429788).

1340080459200 is an abundant number, since it is smaller than the sum of its proper divisors (4411222400376).

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

1340080459200 is an equidigital number, since it uses as much as digits as its factorization.

1340080459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23501 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1340080459200 in words is "one trillion, three hundred forty billion, eighty million, four hundred fifty-nine thousand, two hundred".