1441122010400 has 72 divisors (see below), whose sum is σ = 3522554893620. Its totient is φ = 575725276160.

The previous prime is 1441122010369. The next prime is 1441122010409. The reversal of 1441122010400 is 40102211441.

It can be written as a sum of positive squares in 6 ways, for example, as 1001176345744 + 439945664656 = 1000588^2 + 663284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1441122010409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492515 + ... + 1767714.

Almost surely, 2^{1441122010400} is an apocalyptic number.

1441122010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441122010400 is an abundant number, since it is smaller than the sum of its proper divisors (2081432883220).

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

1441122010400 is a wasteful number, since it uses less digits than its factorization.

1441122010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261046 (or 2261033 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1441122010400 its reverse (40102211441), we get a palindrome (1481224221841).

It can be divided in two parts, 144112 and 2010400, that added together give a palindrome (2154512).

The spelling of 1441122010400 in words is "one trillion, four hundred forty-one billion, one hundred twenty-two million, ten thousand, four hundred".