1340904607200 has 576 divisors, whose sum is σ = 5211611435520. Its totient is φ = 331511685120.

The previous prime is 1340904607177. The next prime is 1340904607241. The reversal of 1340904607200 is 27064090431.

1340904607200 is a `hidden beast` number, since 1 + 3 + 40 + 9 + 0 + 4 + 607 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1340904607200² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24575149 + ... + 24629651.

It is an arithmetic number, because the mean of its divisors is an integer number (9047936520).

Almost surely, 2^{1340904607200} is an apocalyptic number.

1340904607200 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 1340904607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605805717760).

1340904607200 is an abundant number, since it is smaller than the sum of its proper divisors (3870706828320).

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

1340904607200 is a wasteful number, since it uses less digits than its factorization.

1340904607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54616 (or 54597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 1340904607200 its reverse (27064090431), we get a palindrome (1367968697631).

The spelling of 1340904607200 in words is "one trillion, three hundred forty billion, nine hundred four million, six hundred seven thousand, two hundred".