5001342228000 has 288 divisors, whose sum is σ = 17839889187120. Its totient is φ = 1326919372800.

The previous prime is 5001342227989. The next prime is 5001342228007. The reversal of 5001342228000 is 8222431005.

5001342228000 is a `hidden beast` number, since 500 + 134 + 2 + 2 + 28 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 763952913936 + 4237389314064 = 874044^2 + 2058492^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5001342228007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6739396 + ... + 7444604.

Almost surely, 2^{5001342228000} is an apocalyptic number.

5001342228000 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 5001342228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919944593560).

5001342228000 is an abundant number, since it is smaller than the sum of its proper divisors (12838546959120).

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

5001342228000 is a wasteful number, since it uses less digits than its factorization.

5001342228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705437 (or 705416 counting only the distinct ones).

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

Adding to 5001342228000 its reverse (8222431005), we get a palindrome (5009564659005).

The spelling of 5001342228000 in words is "five trillion, one billion, three hundred forty-two million, two hundred twenty-eight thousand".