4738542547200 has 864 divisors, whose sum is σ = 20126077181952. Its totient is φ = 952860672000.

The previous prime is 4738542547129. The next prime is 4738542547261. The reversal of 4738542547200 is 27452458374.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45778704 + ... + 45882096.

Almost surely, 2^{4738542547200} is an apocalyptic number.

4738542547200 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 4738542547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063038590976).

4738542547200 is an abundant number, since it is smaller than the sum of its proper divisors (15387534634752).

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

4738542547200 is a wasteful number, since it uses less digits than its factorization.

4738542547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103471 (or 103452 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 51.

The spelling of 4738542547200 in words is "four trillion, seven hundred thirty-eight billion, five hundred forty-two million, five hundred forty-seven thousand, two hundred".