5020400400 has 240 divisors, whose sum is σ = 17476976640. Its totient is φ = 1227225600.

The previous prime is 5020400393. The next prime is 5020400443. The reversal of 5020400400 is 40040205.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5020400400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703249 + ... + 710351.

It is an arithmetic number, because the mean of its divisors is an integer number (72820736).

Almost surely, 2^5020400400 is an apocalyptic number.

5020400400 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 5020400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738488320).

5020400400 is an abundant number, since it is smaller than the sum of its proper divisors (12456576240).

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

5020400400 is a wasteful number, since it uses less digits than its factorization.

5020400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5020400400 is about 70854.7838893042. The cubic root of 5020400400 is about 1712.2984038179.

Adding to 5020400400 its reverse (40040205), we get a palindrome (5060440605).

The spelling of 5020400400 in words is "five billion, twenty million, four hundred thousand, four hundred".