1342055134800 has 720 divisors, whose sum is σ = 4887861264000. Its totient is φ = 340649349120.

The previous prime is 1342055134757. The next prime is 1342055134811. The reversal of 1342055134800 is 84315502431.

1342055134800 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 551 + 3 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1342055134800² (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 143 ways as a sum of consecutive naturals, for example, 3057072981 + ... + 3057073419.

It is an arithmetic number, because the mean of its divisors is an integer number (6788696200).

Almost surely, 2^{1342055134800} is an apocalyptic number.

1342055134800 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 1342055134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443930632000).

1342055134800 is an abundant number, since it is smaller than the sum of its proper divisors (3545806129200).

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

1342055134800 is a wasteful number, since it uses less digits than its factorization.

1342055134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1342055134800 in words is "one trillion, three hundred forty-two billion, fifty-five million, one hundred thirty-four thousand, eight hundred".