1340425033200 has 1440 divisors, whose sum is σ = 5584147924992. Its totient is φ = 305690112000.

The previous prime is 1340425033061. The next prime is 1340425033219. The reversal of 1340425033200 is 23305240431.

1340425033200 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 425 + 0 + 33 + 200 = 666.

It is a super-2 number, since 2×1340425033200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1226371854 + ... + 1226372946.

Almost surely, 2^{1340425033200} is an apocalyptic number.

1340425033200 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 1340425033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792073962496).

1340425033200 is an abundant number, since it is smaller than the sum of its proper divisors (4243722891792).

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

1340425033200 is a wasteful number, since it uses less digits than its factorization.

1340425033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 1340425033200 in words is "one trillion, three hundred forty billion, four hundred twenty-five million, thirty-three thousand, two hundred".