5033132544400 has 120 divisors (see below), whose sum is σ = 12133619827200. Its totient is φ = 2006351846400.

The previous prime is 5033132544383. The next prime is 5033132544409. The reversal of 5033132544400 is 44452313305.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5033132544409) 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, 145790341 + ... + 145824859.

It is an arithmetic number, because the mean of its divisors is an integer number (101113498560).

Almost surely, 2^{5033132544400} is an apocalyptic number.

5033132544400 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 5033132544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066809913600).

5033132544400 is an abundant number, since it is smaller than the sum of its proper divisors (7100487282800).

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

5033132544400 is a wasteful number, since it uses less digits than its factorization.

5033132544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35777 (or 35766 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 5033132544400 its reverse (44452313305), we get a palindrome (5077584857705).

The spelling of 5033132544400 in words is "five trillion, thirty-three billion, one hundred thirty-two million, five hundred forty-four thousand, four hundred".