5020142400 has 672 divisors, whose sum is σ = 22541057280. Its totient is φ = 1058365440.

The previous prime is 5020142389. The next prime is 5020142417. The reversal of 5020142400 is 42410205.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930562 + ... + 3931838.

It is an arithmetic number, because the mean of its divisors is an integer number (33543240).

Almost surely, 2^5020142400 is an apocalyptic number.

5020142400 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 5020142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270528640).

5020142400 is an abundant number, since it is smaller than the sum of its proper divisors (17520914880).

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

5020142400 is a wasteful number, since it uses less digits than its factorization.

5020142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5020142400 is about 70852.9632407848. The cubic root of 5020142400 is about 1712.2690714592.

Adding to 5020142400 its reverse (42410205), we get a palindrome (5062552605).

The spelling of 5020142400 in words is "five billion, twenty million, one hundred forty-two thousand, four hundred".