4278541007257 has 64 divisors (see below), whose sum is σ = 5109018624000. Its totient is φ = 3539790547200.

The previous prime is 4278541007249. The next prime is 4278541007263. The reversal of 4278541007257 is 7527001458724.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4278541007257 - 2³ = 4278541007249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4278541007057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805900719 + ... + 805906027.

It is an arithmetic number, because the mean of its divisors is an integer number (79828416000).

Almost surely, 2^{4278541007257} is an apocalyptic number.

It is an amenable number.

4278541007257 is a deficient number, since it is larger than the sum of its proper divisors (830477616743).

4278541007257 is a wasteful number, since it uses less digits than its factorization.

4278541007257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262.

The product of its (nonzero) digits is 4390400, while the sum is 52.

The spelling of 4278541007257 in words is "four trillion, two hundred seventy-eight billion, five hundred forty-one million, seven thousand, two hundred fifty-seven".