1342834933440 has 1344 divisors, whose sum is σ = 5894737390080. Its totient is φ = 254559191040.

The previous prime is 1342834933439. The next prime is 1342834933471. The reversal of 1342834933440 is 443394382431.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1342834933440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 598676959 + ... + 598679201.

It is an arithmetic number, because the mean of its divisors is an integer number (4385965320).

Almost surely, 2^{1342834933440} is an apocalyptic number.

1342834933440 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 1342834933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947368695040).

1342834933440 is an abundant number, since it is smaller than the sum of its proper divisors (4551902456640).

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

1342834933440 is a wasteful number, since it uses less digits than its factorization.

1342834933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 1342834933440 in words is "one trillion, three hundred forty-two billion, eight hundred thirty-four million, nine hundred thirty-three thousand, four hundred forty".