47430714240 has 1536 divisors, whose sum is σ = 218792448000. Its totient is φ = 9614868480.

The previous prime is 47430714217. The next prime is 47430714337. The reversal of 47430714240 is 4241703474.

It is a happy number.

47430714240 is a `hidden beast` number, since 47 + 430 + 7 + 142 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47430714195 and 47430714204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341228091 + ... + 341228229.

It is an arithmetic number, because the mean of its divisors is an integer number (142443000).

Almost surely, 2^47430714240 is an apocalyptic number.

47430714240 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 47430714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109396224000).

47430714240 is an abundant number, since it is smaller than the sum of its proper divisors (171361733760).

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

47430714240 is a wasteful number, since it uses less digits than its factorization.

47430714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

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

The spelling of 47430714240 in words is "forty-seven billion, four hundred thirty million, seven hundred fourteen thousand, two hundred forty".