4664043443400 has 768 divisors, whose sum is σ = 16471945728000. Its totient is φ = 1081722470400.

The previous prime is 4664043443383. The next prime is 4664043443483. The reversal of 4664043443400 is 43443404664.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8083263912 + ... + 8083264488.

It is an arithmetic number, because the mean of its divisors is an integer number (21447846000).

Almost surely, 2^{4664043443400} is an apocalyptic number.

4664043443400 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 4664043443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235972864000).

4664043443400 is an abundant number, since it is smaller than the sum of its proper divisors (11807902284600).

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

4664043443400 is a wasteful number, since it uses less digits than its factorization.

4664043443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 4664043443400 in words is "four trillion, six hundred sixty-four billion, forty-three million, four hundred forty-three thousand, four hundred".