4305061643120 has 240 divisors, whose sum is σ = 11716822012896. Its totient is φ = 1466744832000.

The previous prime is 4305061643081. The next prime is 4305061643143. The reversal of 4305061643120 is 213461605034.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463852880 + ... + 463862160.

Almost surely, 2^{4305061643120} is an apocalyptic number.

4305061643120 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 4305061643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858411006448).

4305061643120 is an abundant number, since it is smaller than the sum of its proper divisors (7411760369776).

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

4305061643120 is a wasteful number, since it uses less digits than its factorization.

4305061643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 4305061643120 in words is "four trillion, three hundred five billion, sixty-one million, six hundred forty-three thousand, one hundred twenty".