13342142023392 has 384 divisors, whose sum is σ = 43691483566080. Its totient is φ = 3471146680320.

The previous prime is 13342142023387. The next prime is 13342142023459. The reversal of 13342142023392 is 29332024124331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13342142023392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336639417 + ... + 336679047.

It is an arithmetic number, because the mean of its divisors is an integer number (113779905120).

Almost surely, 2^{13342142023392} is an apocalyptic number.

13342142023392 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 13342142023392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845741783040).

13342142023392 is an abundant number, since it is smaller than the sum of its proper divisors (30349341542688).

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

13342142023392 is a wasteful number, since it uses less digits than its factorization.

13342142023392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40186 (or 40178 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 13342142023392 in words is "thirteen trillion, three hundred forty-two billion, one hundred forty-two million, twenty-three thousand, three hundred ninety-two".