5420419200 has 864 divisors, whose sum is σ = 23617863360. Its totient is φ = 1177989120.

The previous prime is 5420419189. The next prime is 5420419241. The reversal of 5420419200 is 29140245.

5420419200 is a `hidden beast` number, since 5 + 42 + 0 + 419 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32457517 + ... + 32457683.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^5420419200 is an apocalyptic number.

5420419200 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 5420419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808931680).

5420419200 is an abundant number, since it is smaller than the sum of its proper divisors (18197444160).

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

5420419200 is a wasteful number, since it uses less digits than its factorization.

5420419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5420419200 is about 73623.4962494990. The cubic root of 5420419200 is about 1756.6191986489.

Adding to 5420419200 its reverse (29140245), we get a palindrome (5449559445).

The spelling of 5420419200 in words is "five billion, four hundred twenty million, four hundred nineteen thousand, two hundred".