4712420643840 has 3520 divisors, whose sum is σ = 22290403322880. Its totient is φ = 924938403840.

The previous prime is 4712420643727. The next prime is 4712420643881. The reversal of 4712420643840 is 483460242174.

4712420643840 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 4 + 206 + 438 + 4 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 52948546516 + ... + 52948546604.

It is an arithmetic number, because the mean of its divisors is an integer number (6332500944).

Almost surely, 2^{4712420643840} is an apocalyptic number.

4712420643840 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 4712420643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145201661440).

4712420643840 is an abundant number, since it is smaller than the sum of its proper divisors (17577982679040).

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

4712420643840 is a wasteful number, since it uses less digits than its factorization.

4712420643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4712420643840 in words is "four trillion, seven hundred twelve billion, four hundred twenty million, six hundred forty-three thousand, eight hundred forty".