4017252746496 has 576 divisors, whose sum is σ = 12714901952256. Its totient is φ = 1112329420800.

The previous prime is 4017252746471. The next prime is 4017252746497. The reversal of 4017252746496 is 6946472527104.

It is a super-2 number, since 2×4017252746496² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017252746497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738327136 + ... + 738332576.

It is an arithmetic number, because the mean of its divisors is an integer number (22074482556).

Almost surely, 2^{4017252746496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4017252746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357450976128).

4017252746496 is an abundant number, since it is smaller than the sum of its proper divisors (8697649205760).

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

4017252746496 is a wasteful number, since it uses less digits than its factorization.

4017252746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 4017252746496 in words is "four trillion, seventeen billion, two hundred fifty-two million, seven hundred forty-six thousand, four hundred ninety-six".