4541331662784 has 672 divisors, whose sum is σ = 16386779520000. Its totient is φ = 1226299834368.

The previous prime is 4541331662771. The next prime is 4541331662797. The reversal of 4541331662784 is 4872661331454.

4541331662784 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 3 + 3 + 1 + 6 + 627 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4541331662771) and next prime (4541331662797).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4541331662784.

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, 722333689 + ... + 722339975.

Almost surely, 2^{4541331662784} 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 4541331662784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193389760000).

4541331662784 is an abundant number, since it is smaller than the sum of its proper divisors (11845447857216).

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

4541331662784 is a wasteful number, since it uses less digits than its factorization.

4541331662784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6767 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 4541331662784 in words is "four trillion, five hundred forty-one billion, three hundred thirty-one million, six hundred sixty-two thousand, seven hundred eighty-four".