4500401241600 has 2880 divisors, whose sum is σ = 20106801082368. Its totient is φ = 947257344000.

The previous prime is 4500401241547. The next prime is 4500401241649. The reversal of 4500401241600 is 61421040054.

4500401241600 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 4 + 0 + 12 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4500401241600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 15359731054 + ... + 15359731346.

Almost surely, 2^{4500401241600} is an apocalyptic number.

4500401241600 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 4500401241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053400541184).

4500401241600 is an abundant number, since it is smaller than the sum of its proper divisors (15606399840768).

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

4500401241600 is a wasteful number, since it uses less digits than its factorization.

4500401241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4500401241600 its reverse (61421040054), we get a palindrome (4561822281654).

The spelling of 4500401241600 in words is "four trillion, five hundred billion, four hundred one million, two hundred forty-one thousand, six hundred".