4259361240960 has 256 divisors, whose sum is σ = 15518018880000. Its totient is φ = 973456957440.

The previous prime is 4259361240931. The next prime is 4259361240991. The reversal of 4259361240960 is 690421639524.

It is a super-2 number, since 2×4259361240960² (a number of 26 digits) contains 22 as substring.

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, 198108291 + ... + 198129789.

It is an arithmetic number, because the mean of its divisors is an integer number (60617261250).

Almost surely, 2^{4259361240960} is an apocalyptic number.

4259361240960 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 4259361240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759009440000).

4259361240960 is an abundant number, since it is smaller than the sum of its proper divisors (11258657639040).

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

4259361240960 is a wasteful number, since it uses less digits than its factorization.

4259361240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36269 (or 36257 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 4259361240960 in words is "four trillion, two hundred fifty-nine billion, three hundred sixty-one million, two hundred forty thousand, nine hundred sixty".