4257377280 has 704 divisors, whose sum is σ = 17167288320. Its totient is φ = 992673792.

The previous prime is 4257377273. The next prime is 4257377297. The reversal of 4257377280 is 827737524.

4257377280 is a `hidden beast` number, since 4 + 2 + 573 + 7 + 72 + 8 + 0 = 666.

It is a super-2 number, since 2×4257377280² = 36250522608520396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41333709 + ... + 41333811.

Almost surely, 2^4257377280 is an apocalyptic number.

4257377280 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 4257377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583644160).

4257377280 is an abundant number, since it is smaller than the sum of its proper divisors (12909911040).

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

4257377280 is a wasteful number, since it uses less digits than its factorization.

4257377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4257377280 is about 65248.5806742185. The cubic root of 4257377280 is about 1620.7425950764.

The spelling of 4257377280 in words is "four billion, two hundred fifty-seven million, three hundred seventy-seven thousand, two hundred eighty".