1342030790880 has 1152 divisors, whose sum is σ = 5296081190400. Its totient is φ = 306737528832.

The previous prime is 1342030790819. The next prime is 1342030790887. The reversal of 1342030790880 is 880970302431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342030790887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6812338942 + ... + 6812339138.

It is an arithmetic number, because the mean of its divisors is an integer number (4597292700).

Almost surely, 2^{1342030790880} is an apocalyptic number.

1342030790880 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 1342030790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648040595200).

1342030790880 is an abundant number, since it is smaller than the sum of its proper divisors (3954050399520).

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

1342030790880 is a wasteful number, since it uses less digits than its factorization.

1342030790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1342030790880 in words is "one trillion, three hundred forty-two billion, thirty million, seven hundred ninety thousand, eight hundred eighty".