1221441414400 has 108 divisors (see below), whose sum is σ = 3087583756992. Its totient is φ = 478181201920.

The previous prime is 1221441414397. The next prime is 1221441414437. The reversal of 1221441414400 is 44141441221.

It is a super-2 number, since 2×1221441414400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1729522 + ... + 2331121.

Almost surely, 2^{1221441414400} is an apocalyptic number.

1221441414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221441414400 is an abundant number, since it is smaller than the sum of its proper divisors (1866142342592).

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

1221441414400 is an equidigital number, since it uses as much as digits as its factorization.

1221441414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060716 (or 4060697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1221441414400 its reverse (44141441221), we get a palindrome (1265582855621).

It can be divided in two parts, 1221441 and 414400, that added together give a square (1635841 = 1279²).

The spelling of 1221441414400 in words is "one trillion, two hundred twenty-one billion, four hundred forty-one million, four hundred fourteen thousand, four hundred".