5514241141200 has 480 divisors, whose sum is σ = 19716952320000. Its totient is φ = 1305871257600.

The previous prime is 5514241141151. The next prime is 5514241141219. The reversal of 5514241141200 is 21411424155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339350676 + ... + 339366924.

It is an arithmetic number, because the mean of its divisors is an integer number (41076984000).

Almost surely, 2^{5514241141200} is an apocalyptic number.

5514241141200 is a gapful number since it is divisible by the number (50) 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 5514241141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858476160000).

5514241141200 is an abundant number, since it is smaller than the sum of its proper divisors (14202711178800).

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

5514241141200 is a wasteful number, since it uses less digits than its factorization.

5514241141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16875 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 5514241141200 its reverse (21411424155), we get a palindrome (5535652565355).

The spelling of 5514241141200 in words is "five trillion, five hundred fourteen billion, two hundred forty-one million, one hundred forty-one thousand, two hundred".