4257076166560 has 144 divisors (see below), whose sum is σ = 11702063864736. Its totient is φ = 1459231345152.

The previous prime is 4257076166531. The next prime is 4257076166569. The reversal of 4257076166560 is 656616707524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4257076166569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35086159 + ... + 35207281.

It is an arithmetic number, because the mean of its divisors is an integer number (81264332394).

Almost surely, 2^{4257076166560} is an apocalyptic number.

4257076166560 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 4257076166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851031932368).

4257076166560 is an abundant number, since it is smaller than the sum of its proper divisors (7444987698176).

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

4257076166560 is a wasteful number, since it uses less digits than its factorization.

4257076166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125635 (or 125620 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 4257076166560 in words is "four trillion, two hundred fifty-seven billion, seventy-six million, one hundred sixty-six thousand, five hundred sixty".