2441315541200 has 120 divisors (see below), whose sum is σ = 5897901724416. Its totient is φ = 971106496000.

The previous prime is 2441315541191. The next prime is 2441315541209. The reversal of 2441315541200 is 21455131442.

It is an interprime number because it is at equal distance from previous prime (2441315541191) and next prime (2441315541209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441315541209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53593634 + ... + 53639166.

Almost surely, 2^{2441315541200} is an apocalyptic number.

2441315541200 is a gapful number since it is divisible by the number (20) 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 2441315541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948950862208).

2441315541200 is an abundant number, since it is smaller than the sum of its proper divisors (3456586183216).

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

2441315541200 is a wasteful number, since it uses less digits than its factorization.

2441315541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46293 (or 46282 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 2441315541200 in words is "two trillion, four hundred forty-one billion, three hundred fifteen million, five hundred forty-one thousand, two hundred".