4468921123600 has 120 divisors (see below), whose sum is σ = 11163195453960. Its totient is φ = 1717166223360.

The previous prime is 4468921123573. The next prime is 4468921123633. The reversal of 4468921123600 is 63211298644.

It can be written as a sum of positive squares in 12 ways, for example, as 1027287656704 + 3441633466896 = 1013552^2 + 1855164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307404 + ... + 3262996.

It is an arithmetic number, because the mean of its divisors is an integer number (93026628783).

Almost surely, 2^{4468921123600} is an apocalyptic number.

4468921123600 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 4468921123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581597726980).

4468921123600 is an abundant number, since it is smaller than the sum of its proper divisors (6694274330360).

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

4468921123600 is a wasteful number, since it uses less digits than its factorization.

4468921123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955837 (or 1955826 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 4468921123600 in words is "four trillion, four hundred sixty-eight billion, nine hundred twenty-one million, one hundred twenty-three thousand, six hundred".