4970419200 has 792 divisors, whose sum is σ = 19956972672. Its totient is φ = 1220935680.

The previous prime is 4970419199. The next prime is 4970419211. The reversal of 4970419200 is 29140794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105753577 + ... + 105753623.

Almost surely, 2^4970419200 is an apocalyptic number.

4970419200 is a gapful number since it is divisible by the number (40) 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 4970419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336).

4970419200 is an abundant number, since it is smaller than the sum of its proper divisors (14986553472).

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

4970419200 is a wasteful number, since it uses less digits than its factorization.

4970419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4970419200 is about 70501.1999897874. The cubic root of 4970419200 is about 1706.5971108805.

Adding to 4970419200 its reverse (29140794), we get a palindrome (4999559994).

The spelling of 4970419200 in words is "four billion, nine hundred seventy million, four hundred nineteen thousand, two hundred".