4901276800 has 384 divisors, whose sum is σ = 14962078080. Its totient is φ = 1548288000.

The previous prime is 4901276773. The next prime is 4901276893. The reversal of 4901276800 is 86721094.

It is a self number, because there is not a number n which added to its sum of digits gives 4901276800.

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, 23228695 + ... + 23228905.

It is an arithmetic number, because the mean of its divisors is an integer number (38963745).

Almost surely, 2^4901276800 is an apocalyptic number.

4901276800 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 4901276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481039040).

4901276800 is an abundant number, since it is smaller than the sum of its proper divisors (10060801280).

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

4901276800 is a wasteful number, since it uses less digits than its factorization.

4901276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 4901276800 is about 70009.1194059745. The cubic root of 4901276800 is about 1698.6467662221.

Adding to 4901276800 its reverse (86721094), we get a palindrome (4987997894).

The spelling of 4901276800 in words is "four billion, nine hundred one million, two hundred seventy-six thousand, eight hundred".