1342193836032 has 784 divisors, whose sum is σ = 4660878046272. Its totient is φ = 378383892480.

The previous prime is 1342193836021. The next prime is 1342193836033. The reversal of 1342193836032 is 2306383912431.

1342193836032 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 9 + 38 + 3 + 603 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1342193836033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4054966107 + ... + 4054966437.

It is an arithmetic number, because the mean of its divisors is an integer number (5944997508).

Almost surely, 2^{1342193836032} is an apocalyptic number.

1342193836032 is a gapful number since it is divisible by the number (12) 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 1342193836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330439023136).

1342193836032 is an abundant number, since it is smaller than the sum of its proper divisors (3318684210240).

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

1342193836032 is an frugal number, since it uses more digits than its factorization.

1342193836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1342193836032 in words is "one trillion, three hundred forty-two billion, one hundred ninety-three million, eight hundred thirty-six thousand, thirty-two".