4023262566144 has 1440 divisors, whose sum is σ = 13894464460800. Its totient is φ = 1151275991040.

The previous prime is 4023262566097. The next prime is 4023262566149. The reversal of 4023262566144 is 4416652623204.

It is a happy number.

4023262566144 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 2 + 6 + 25 + 6 + 614 + 4 = 666.

It is a super-2 number, since 2×4023262566144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4023262566144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023262566149) 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 159 ways as a sum of consecutive naturals, for example, 13105089639 + ... + 13105089945.

Almost surely, 2^{4023262566144} 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 4023262566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947232230400).

4023262566144 is an abundant number, since it is smaller than the sum of its proper divisors (9871201894656).

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

4023262566144 is a wasteful number, since it uses less digits than its factorization.

4023262566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4023262566144 in words is "four trillion, twenty-three billion, two hundred sixty-two million, five hundred sixty-six thousand, one hundred forty-four".