1342145049600 has 528 divisors, whose sum is σ = 4848447822336. Its totient is φ = 325976064000.

The previous prime is 1342145049587. The next prime is 1342145049629. The reversal of 1342145049600 is 69405412431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40457020 + ... + 40490180.

Almost surely, 2^{1342145049600} is an apocalyptic number.

1342145049600 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 1342145049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424223911168).

1342145049600 is an abundant number, since it is smaller than the sum of its proper divisors (3506302772736).

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

1342145049600 is a wasteful number, since it uses less digits than its factorization.

1342145049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33242 (or 33219 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1342145049600 in words is "one trillion, three hundred forty-two billion, one hundred forty-five million, forty-nine thousand, six hundred".