4251242689760 has 192 divisors, whose sum is σ = 11320985088000. Its totient is φ = 1494592204800.

The previous prime is 4251242689723. The next prime is 4251242689823. The reversal of 4251242689760 is 679862421524.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4251242689696 and 4251242689705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57196301 + ... + 57270579.

It is an arithmetic number, because the mean of its divisors is an integer number (58963464000).

Almost surely, 2^{4251242689760} is an apocalyptic number.

4251242689760 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 4251242689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660492544000).

4251242689760 is an abundant number, since it is smaller than the sum of its proper divisors (7069742398240).

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

4251242689760 is a wasteful number, since it uses less digits than its factorization.

4251242689760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75385 (or 75377 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 4251242689760 in words is "four trillion, two hundred fifty-one billion, two hundred forty-two million, six hundred eighty-nine thousand, seven hundred sixty".