13042544842800 has 1440 divisors, whose sum is σ = 52136579156480. Its totient is φ = 3093666048000.

The previous prime is 13042544842799. The next prime is 13042544842813. The reversal of 13042544842800 is 824844524031.

13042544842800 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 544 + 84 + 28 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15847563189 + ... + 15847564011.

Almost surely, 2^{13042544842800} is an apocalyptic number.

13042544842800 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 13042544842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068289578240).

13042544842800 is an abundant number, since it is smaller than the sum of its proper divisors (39094034313680).

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

13042544842800 is a wasteful number, since it uses less digits than its factorization.

13042544842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 13042544842800 in words is "thirteen trillion, forty-two billion, five hundred forty-four million, eight hundred forty-two thousand, eight hundred".