47433597120 has 1008 divisors, whose sum is σ = 210389175360. Its totient is φ = 9540550656.

The previous prime is 47433597073. The next prime is 47433597131. The reversal of 47433597120 is 2179533474.

47433597120 is a `hidden beast` number, since 4 + 7 + 4 + 33 + 597 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×47433597120² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 600425241 + ... + 600425319.

It is an arithmetic number, because the mean of its divisors is an integer number (208719420).

Almost surely, 2^47433597120 is an apocalyptic number.

47433597120 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 47433597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105194587680).

47433597120 is an abundant number, since it is smaller than the sum of its proper divisors (162955578240).

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

47433597120 is a wasteful number, since it uses less digits than its factorization.

47433597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 47433597120 in words is "forty-seven billion, four hundred thirty-three million, five hundred ninety-seven thousand, one hundred twenty".