4741130800272 has 160 divisors (see below), whose sum is σ = 12736018592640. Its totient is φ = 1518618378240.

The previous prime is 4741130800271. The next prime is 4741130800279. The reversal of 4741130800272 is 2720080311474.

It is a self number, because there is not a number n which added to its sum of digits gives 4741130800272.

It is not an unprimeable number, because it can be changed into a prime (4741130800271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106145368 + ... + 106190024.

It is an arithmetic number, because the mean of its divisors is an integer number (79600116204).

Almost surely, 2^{4741130800272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741130800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368009296320).

4741130800272 is an abundant number, since it is smaller than the sum of its proper divisors (7994887792368).

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

4741130800272 is a wasteful number, since it uses less digits than its factorization.

4741130800272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45521 (or 45515 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 4741130800272 in words is "four trillion, seven hundred forty-one billion, one hundred thirty million, eight hundred thousand, two hundred seventy-two".