13441771948800 has 864 divisors, whose sum is σ = 48808873532160. Its totient is φ = 3237529190400.

The previous prime is 13441771948799. The next prime is 13441771948807. The reversal of 13441771948800 is 884917714431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13441771948807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3342890790 + ... + 3342894810.

Almost surely, 2^{13441771948800} is an apocalyptic number.

13441771948800 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 13441771948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404436766080).

13441771948800 is an abundant number, since it is smaller than the sum of its proper divisors (35367101583360).

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

13441771948800 is a wasteful number, since it uses less digits than its factorization.

13441771948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 13441771948800 in words is "thirteen trillion, four hundred forty-one billion, seven hundred seventy-one million, nine hundred forty-eight thousand, eight hundred".