4971344830200 has 1536 divisors, whose sum is σ = 21232212480000. Its totient is φ = 1044095754240.

The previous prime is 4971344830183. The next prime is 4971344830211. The reversal of 4971344830200 is 20384431794.

4971344830200 is a `hidden beast` number, since 4 + 9 + 71 + 344 + 8 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6782189034 + ... + 6782189766.

It is an arithmetic number, because the mean of its divisors is an integer number (13823055000).

Almost surely, 2^{4971344830200} is an apocalyptic number.

4971344830200 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 4971344830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616106240000).

4971344830200 is an abundant number, since it is smaller than the sum of its proper divisors (16260867649800).

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

4971344830200 is a wasteful number, since it uses less digits than its factorization.

4971344830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4971344830200 in words is "four trillion, nine hundred seventy-one billion, three hundred forty-four million, eight hundred thirty thousand, two hundred".