4257116064336 has 320 divisors, whose sum is σ = 11867096457216. Its totient is φ = 1312501708800.

The previous prime is 4257116064319. The next prime is 4257116064349. The reversal of 4257116064336 is 6334606117524.

It is a super-2 number, since 2×4257116064336² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827103715 + ... + 827108861.

Almost surely, 2^{4257116064336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257116064336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933548228608).

4257116064336 is an abundant number, since it is smaller than the sum of its proper divisors (7609980392880).

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

4257116064336 is a wasteful number, since it uses less digits than its factorization.

4257116064336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 4257116064336 in words is "four trillion, two hundred fifty-seven billion, one hundred sixteen million, sixty-four thousand, three hundred thirty-six".