4468048873200 has 1320 divisors, whose sum is σ = 18201772757520. Its totient is φ = 1044049305600.

The previous prime is 4468048873193. The next prime is 4468048873207. The reversal of 4468048873200 is 23788408644.

It is a happy number.

4468048873200 is a `hidden beast` number, since 446 + 80 + 48 + 87 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4468048873193) and next prime (4468048873207).

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468048873207) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 7534652104 + ... + 7534652696.

It is an arithmetic number, because the mean of its divisors is an integer number (13789221786).

Almost surely, 2^{4468048873200} is an apocalyptic number.

4468048873200 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 4468048873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100886378760).

4468048873200 is an abundant number, since it is smaller than the sum of its proper divisors (13733723884320).

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

4468048873200 is a wasteful number, since it uses less digits than its factorization.

4468048873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4468048873200 in words is "four trillion, four hundred sixty-eight billion, forty-eight million, eight hundred seventy-three thousand, two hundred".