4712844296160 has 5184 divisors, whose sum is σ = 24406977853440. Its totient is φ = 815173632000.

The previous prime is 4712844296143. The next prime is 4712844296177. The reversal of 4712844296160 is 616924482174.

4712844296160 is a `hidden beast` number, since 4 + 7 + 12 + 8 + 4 + 4 + 2 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4712844296143) and next prime (4712844296177).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a junction number, because it is equal to n+sod(n) for n = 4712844296097 and 4712844296106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 77259742530 + ... + 77259742590.

It is an arithmetic number, because the mean of its divisors is an integer number (4708136160).

Almost surely, 2^{4712844296160} is an apocalyptic number.

4712844296160 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 4712844296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203488926720).

4712844296160 is an abundant number, since it is smaller than the sum of its proper divisors (19694133557280).

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

4712844296160 is a wasteful number, since it uses less digits than its factorization.

4712844296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4712844296160 in words is "four trillion, seven hundred twelve billion, eight hundred forty-four million, two hundred ninety-six thousand, one hundred sixty".