4570246975120 has 480 divisors, whose sum is σ = 12341313900000. Its totient is φ = 1566421549056.

The previous prime is 4570246975051. The next prime is 4570246975187. The reversal of 4570246975120 is 215796420754.

It can be written as a sum of positive squares in 16 ways, for example, as 1665619344 + 4568581355776 = 40812^2 + 2137424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3659124256 + ... + 3659125504.

It is an arithmetic number, because the mean of its divisors is an integer number (25711070625).

Almost surely, 2^{4570246975120} is an apocalyptic number.

4570246975120 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 4570246975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170656950000).

4570246975120 is an abundant number, since it is smaller than the sum of its proper divisors (7771066924880).

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

4570246975120 is a wasteful number, since it uses less digits than its factorization.

4570246975120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 4570246975120 in words is "four trillion, five hundred seventy billion, two hundred forty-six million, nine hundred seventy-five thousand, one hundred twenty".