4257173877264 has 1125 divisors, whose sum is σ = 15834233286365. Its totient is φ = 1067629812480.

The previous prime is 4257173877227. The next prime is 4257173877329. The reversal of 4257173877264 is 4627783717524.

The square root of 4257173877264 is 2063292.

It is a perfect power (a square), and thus also a powerful number.

4257173877264 is a `hidden beast` number, since 4 + 2 + 571 + 7 + 38 + 7 + 7 + 26 + 4 = 666.

4257173877264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2232358715664 + 2024815161600 = 1494108^2 + 1422960^2 .

It is a super-2 number, since 2×4257173877264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

Its product of digits (110638080) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 146799099202 + ... + 146799099230.

Almost surely, 2^{4257173877264} is an apocalyptic number.

4257173877264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4257173877264 is the 2063292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257173877264

4257173877264 is an abundant number, since it is smaller than the sum of its proper divisors (11577059409101).

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

4257173877264 is an frugal number, since it uses more digits than its factorization.

4257173877264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 52 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 63.

The spelling of 4257173877264 in words is "four trillion, two hundred fifty-seven billion, one hundred seventy-three million, eight hundred seventy-seven thousand, two hundred sixty-four".