4045767264000 has 3456 divisors, whose sum is σ = 19554883246080. Its totient is φ = 808206336000.

The previous prime is 4045767263987. The next prime is 4045767264001. The reversal of 4045767264000 is 4627675404.

4045767264000 is a `hidden beast` number, since 4 + 0 + 4 + 576 + 72 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045767264001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17363807884 + ... + 17363808116.

It is an arithmetic number, because the mean of its divisors is an integer number (5658241680).

Almost surely, 2^{4045767264000} is an apocalyptic number.

4045767264000 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 4045767264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777441623040).

4045767264000 is an abundant number, since it is smaller than the sum of its proper divisors (15509115982080).

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

4045767264000 is a wasteful number, since it uses less digits than its factorization.

4045767264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4045767264000 in words is "four trillion, forty-five billion, seven hundred sixty-seven million, two hundred sixty-four thousand".