4644159138720 has 1152 divisors, whose sum is σ = 17166198067200. Its totient is φ = 1141150187520.

The previous prime is 4644159138677. The next prime is 4644159138727. The reversal of 4644159138720 is 278319514464.

4644159138720 is a `hidden beast` number, since 4 + 6 + 4 + 41 + 591 + 3 + 8 + 7 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4644159138727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27809336077 + ... + 27809336243.

It is an arithmetic number, because the mean of its divisors is an integer number (14901213600).

It is a 1-persistent number, because it is pandigital, but 2⋅4644159138720 = 9288318277440 is not.

Almost surely, 2^{4644159138720} is an apocalyptic number.

4644159138720 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 4644159138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583099033600).

4644159138720 is an abundant number, since it is smaller than the sum of its proper divisors (12522038928480).

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

4644159138720 is a wasteful number, since it uses less digits than its factorization.

4644159138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4644159138720 in words is "four trillion, six hundred forty-four billion, one hundred fifty-nine million, one hundred thirty-eight thousand, seven hundred twenty".