4532344212800 has 168 divisors, whose sum is σ = 11611704871032. Its totient is φ = 1739722752000.

The previous prime is 4532344212727. The next prime is 4532344212811. The reversal of 4532344212800 is 82124432354.

It can be written as a sum of positive squares in 12 ways, for example, as 4019928760576 + 512415452224 = 2004976^2 + 715832^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 3435284 + ... + 4567916.

It is an arithmetic number, because the mean of its divisors is an integer number (69117290899).

Almost surely, 2^{4532344212800} is an apocalyptic number.

4532344212800 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 4532344212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805852435516).

4532344212800 is an abundant number, since it is smaller than the sum of its proper divisors (7079360658232).

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

4532344212800 is a wasteful number, since it uses less digits than its factorization.

4532344212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132757 (or 1132742 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 4532344212800 in words is "four trillion, five hundred thirty-two billion, three hundred forty-four million, two hundred twelve thousand, eight hundred".