4144463366400 has 1944 divisors, whose sum is σ = 18078044222784. Its totient is φ = 919981670400.

The previous prime is 4144463366383. The next prime is 4144463366431. The reversal of 4144463366400 is 46633644414.

4144463366400 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 4 + 633 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52461561561 + ... + 52461561639.

Almost surely, 2^{4144463366400} is an apocalyptic number.

4144463366400 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 4144463366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039022111392).

4144463366400 is an abundant number, since it is smaller than the sum of its proper divisors (13933580856384).

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

4144463366400 is an frugal number, since it uses more digits than its factorization.

4144463366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 4144463366400 in words is "four trillion, one hundred forty-four billion, four hundred sixty-three million, three hundred sixty-six thousand, four hundred".