47442133200 has 720 divisors, whose sum is σ = 197670473280. Its totient is φ = 9612288000.

The previous prime is 47442133199. The next prime is 47442133267. The reversal of 47442133200 is 233124474.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26517906 + ... + 26519694.

It is an arithmetic number, because the mean of its divisors is an integer number (274542324).

Almost surely, 2^47442133200 is an apocalyptic number.

47442133200 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 47442133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98835236640).

47442133200 is an abundant number, since it is smaller than the sum of its proper divisors (150228340080).

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

47442133200 is a wasteful number, since it uses less digits than its factorization.

47442133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 47442133200 its reverse (233124474), we get a palindrome (47675257674).

The spelling of 47442133200 in words is "forty-seven billion, four hundred forty-two million, one hundred thirty-three thousand, two hundred".