4638726144000 has 1680 divisors, whose sum is σ = 18772439736960. Its totient is φ = 1137062707200.

The previous prime is 4638726143981. The next prime is 4638726144083. The reversal of 4638726144000 is 4416278364.

4638726144000 is a `hidden beast` number, since 4 + 6 + 387 + 261 + 4 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19408895881 + ... + 19408896119.

It is an arithmetic number, because the mean of its divisors is an integer number (11174071272).

Almost surely, 2^{4638726144000} is an apocalyptic number.

4638726144000 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 4638726144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386219868480).

4638726144000 is an abundant number, since it is smaller than the sum of its proper divisors (14133713592960).

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

4638726144000 is an frugal number, since it uses more digits than its factorization.

4638726144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4638726144000 in words is "four trillion, six hundred thirty-eight billion, seven hundred twenty-six million, one hundred forty-four thousand".