5142144000 has 352 divisors, whose sum is σ = 19558446336. Its totient is φ = 1174732800.

The previous prime is 5142143999. The next prime is 5142144001. The reversal of 5142144000 is 4412415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5142143999) and next prime (5142144001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5142144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687044 + ... + 2688956.

It is an arithmetic number, because the mean of its divisors is an integer number (55563768).

Almost surely, 2^5142144000 is an apocalyptic number.

5142144000 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 5142144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779223168).

5142144000 is an abundant number, since it is smaller than the sum of its proper divisors (14416302336).

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

5142144000 is a wasteful number, since it uses less digits than its factorization.

5142144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5142144000 is about 71708.7442366689. The cubic root of 5142144000 is about 1726.0289597241.

Adding to 5142144000 its reverse (4412415), we get a palindrome (5146556415).

The spelling of 5142144000 in words is "five billion, one hundred forty-two million, one hundred forty-four thousand".