4045267795968 has 690 divisors, whose sum is σ = 14116918284876. Its totient is φ = 1155790798848.

The previous prime is 4045267795949. The next prime is 4045267796021. The reversal of 4045267795968 is 8695977625404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4045267795968 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 26 + 7 + 7 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4045267795896 and 4045267795905.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 577895399421 + ... + 577895399427.

Almost surely, 2^{4045267795968} is an apocalyptic number.

4045267795968 is a gapful number since it is divisible by the number (48) 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 4045267795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058459142438).

4045267795968 is an abundant number, since it is smaller than the sum of its proper divisors (10071650488908).

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

4045267795968 is an frugal number, since it uses more digits than its factorization.

4045267795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 4045267795968 in words is "four trillion, forty-five billion, two hundred sixty-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight".