4257743265408 has 32 divisors (see below), whose sum is σ = 11309630549760. Its totient is φ = 1419247755008.

The previous prime is 4257743265401. The next prime is 4257743265437. The reversal of 4257743265408 is 8045623477524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4257743265401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5543936160 + ... + 5543936927.

It is an arithmetic number, because the mean of its divisors is an integer number (353425954680).

Almost surely, 2^{4257743265408} is an apocalyptic number.

4257743265408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4257743265408 is an abundant number, since it is smaller than the sum of its proper divisors (7051887284352).

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

4257743265408 is a wasteful number, since it uses less digits than its factorization.

4257743265408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087873104 (or 11087873092 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 4257743265408 in words is "four trillion, two hundred fifty-seven billion, seven hundred forty-three million, two hundred sixty-five thousand, four hundred eight".