47434014720000 has 2550 divisors, whose sum is σ = 194193047472138. Its totient is φ = 11494490112000.

The previous prime is 47434014719977. The next prime is 47434014720023. The reversal of 47434014720000 is 2741043474.

It is a happy number.

47434014720000 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 401 + 47 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47434014719977) and next prime (47434014720023).

It can be written as a sum of positive squares in 15 ways, for example, as 43785853599744 + 3648161120256 = 6617088^2 + 1910016^2 .

It is a tau number, because it is divible by the number of its divisors (2550).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1635655679986 + ... + 1635655680014.

Almost surely, 2^{47434014720000} is an apocalyptic number.

47434014720000 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 47434014720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97096523736069).

47434014720000 is an abundant number, since it is smaller than the sum of its proper divisors (146759032752138).

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

47434014720000 is an frugal number, since it uses more digits than its factorization.

47434014720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 47434014720000 its reverse (2741043474), we get a palindrome (47436755763474).

The spelling of 47434014720000 in words is "forty-seven trillion, four hundred thirty-four billion, fourteen million, seven hundred twenty thousand".