13320244144400 has 120 divisors (see below), whose sum is σ = 35052776869320. Its totient is φ = 4841760071680.

The previous prime is 13320244144373. The next prime is 13320244144409. The reversal of 13320244144400 is 444144202331.

It can be written as a sum of positive squares in 12 ways, for example, as 731031840016 + 12589212304384 = 855004^2 + 3548128^2 .

It is not an unprimeable number, because it can be changed into a prime (13320244144409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33576239 + ... + 33970638.

It is an arithmetic number, because the mean of its divisors is an integer number (292106473911).

Almost surely, 2^{13320244144400} is an apocalyptic number.

13320244144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320244144400 is an abundant number, since it is smaller than the sum of its proper divisors (21732532724920).

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

13320244144400 is a wasteful number, since it uses less digits than its factorization.

13320244144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67546941 (or 67546930 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13320244144400 its reverse (444144202331), we get a palindrome (13764388346731).

The spelling of 13320244144400 in words is "thirteen trillion, three hundred twenty billion, two hundred forty-four million, one hundred forty-four thousand, four hundred".