5142812040 has 512 divisors, whose sum is σ = 18707673600. Its totient is φ = 1254113280.

The previous prime is 5142812039. The next prime is 5142812111. The reversal of 5142812040 is 402182415.

5142812040 is a `hidden beast` number, since 514 + 28 + 120 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5142811995 and 5142812013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70449444 + ... + 70449516.

It is an arithmetic number, because the mean of its divisors is an integer number (36538425).

Almost surely, 2^5142812040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353836800).

5142812040 is an abundant number, since it is smaller than the sum of its proper divisors (13564861560).

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

5142812040 is a wasteful number, since it uses less digits than its factorization.

5142812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5142812040 is about 71713.4020947270. The cubic root of 5142812040 is about 1726.1037019884.

Adding to 5142812040 its reverse (402182415), we get a palindrome (5544994455).

The spelling of 5142812040 in words is "five billion, one hundred forty-two million, eight hundred twelve thousand, forty".