4257740833920 has 768 divisors, whose sum is σ = 17838979920000. Its totient is φ = 956691800064.

The previous prime is 4257740833909. The next prime is 4257740833967. The reversal of 4257740833920 is 293380477524.

It is a happy number.

4257740833920 is a `hidden beast` number, since 4 + 2 + 577 + 40 + 8 + 3 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 49913866 + ... + 49999094.

Almost surely, 2^{4257740833920} is an apocalyptic number.

4257740833920 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 4257740833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919489960000).

4257740833920 is an abundant number, since it is smaller than the sum of its proper divisors (13581239086080).

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

4257740833920 is a wasteful number, since it uses less digits than its factorization.

4257740833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85330 (or 85305 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4257740833920 in words is "four trillion, two hundred fifty-seven billion, seven hundred forty million, eight hundred thirty-three thousand, nine hundred twenty".