4268253790080 has 768 divisors, whose sum is σ = 17748855820800. Its totient is φ = 923318009856.

The previous prime is 4268253790067. The next prime is 4268253790159. The reversal of 4268253790080 is 800973528624.

4268253790080 is a `hidden beast` number, since 4 + 26 + 8 + 2 + 537 + 9 + 0 + 0 + 80 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4268253789999 and 4268253790026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978281979 + ... + 978286341.

It is an arithmetic number, because the mean of its divisors is an integer number (23110489350).

Almost surely, 2^{4268253790080} is an apocalyptic number.

4268253790080 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 4268253790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874427910400).

4268253790080 is an abundant number, since it is smaller than the sum of its proper divisors (13480602030720).

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

4268253790080 is a wasteful number, since it uses less digits than its factorization.

4268253790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4268253790080 in words is "four trillion, two hundred sixty-eight billion, two hundred fifty-three million, seven hundred ninety thousand, eighty".