4970134800 has 360 divisors, whose sum is σ = 17865189888. Its totient is φ = 1278720000.

The previous prime is 4970134789. The next prime is 4970134801. The reversal of 4970134800 is 84310794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4970134801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22287489 + ... + 22287711.

Almost surely, 2^4970134800 is an apocalyptic number.

4970134800 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 4970134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932594944).

4970134800 is an abundant number, since it is smaller than the sum of its proper divisors (12895055088).

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

4970134800 is a wasteful number, since it uses less digits than its factorization.

4970134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4970134800 is about 70499.1829739891. The cubic root of 4970134800 is about 1706.5645606096.

The spelling of 4970134800 in words is "four billion, nine hundred seventy million, one hundred thirty-four thousand, eight hundred".