4541161363200 has 5184 divisors, whose sum is σ = 23300108697600. Its totient is φ = 843042816000.

The previous prime is 4541161363111. The next prime is 4541161363241. The reversal of 4541161363200 is 23631611454.

4541161363200 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 1 + 6 + 13 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 63960019165 + ... + 63960019235.

Almost surely, 2^{4541161363200} is an apocalyptic number.

4541161363200 is a gapful number since it is divisible by the number (40) 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 4541161363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650054348800).

4541161363200 is an abundant number, since it is smaller than the sum of its proper divisors (18758947334400).

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

4541161363200 is a wasteful number, since it uses less digits than its factorization.

4541161363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 4541161363200 its reverse (23631611454), we get a palindrome (4564792974654).

The spelling of 4541161363200 in words is "four trillion, five hundred forty-one billion, one hundred sixty-one million, three hundred sixty-three thousand, two hundred".