1441224001400 has 96 divisors (see below), whose sum is σ = 3375349678080. Its totient is φ = 572286384000.

The previous prime is 1441224001367. The next prime is 1441224001471. The reversal of 1441224001400 is 41004221441.

It is a super-2 number, since 2×1441224001400² (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 23 ways as a sum of consecutive naturals, for example, 18564665 + ... + 18642135.

It is an arithmetic number, because the mean of its divisors is an integer number (35159892480).

Almost surely, 2^{1441224001400} is an apocalyptic number.

1441224001400 is a gapful number since it is divisible by the number (10) 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 1441224001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687674839040).

1441224001400 is an abundant number, since it is smaller than the sum of its proper divisors (1934125676680).

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

1441224001400 is a wasteful number, since it uses less digits than its factorization.

1441224001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78165 (or 78156 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1441224001400 its reverse (41004221441), we get a palindrome (1482228222841).

The spelling of 1441224001400 in words is "one trillion, four hundred forty-one billion, two hundred twenty-four million, one thousand, four hundred".