4257924261360 has 320 divisors, whose sum is σ = 16463631974400. Its totient is φ = 884385469440.

The previous prime is 4257924261359. The next prime is 4257924261389. The reversal of 4257924261360 is 631624297524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44285499 + ... + 44381541.

It is an arithmetic number, because the mean of its divisors is an integer number (51448849920).

Almost surely, 2^{4257924261360} is an apocalyptic number.

4257924261360 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 4257924261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231815987200).

4257924261360 is an abundant number, since it is smaller than the sum of its proper divisors (12205707713040).

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

4257924261360 is a wasteful number, since it uses less digits than its factorization.

4257924261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98476 (or 98470 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 4257924261360 in words is "four trillion, two hundred fifty-seven billion, nine hundred twenty-four million, two hundred sixty-one thousand, three hundred sixty".