1441242400 has 72 divisors (see below), whose sum is σ = 3789109044. Its totient is φ = 532147200.

The previous prime is 1441242391. The next prime is 1441242403. The reversal of 1441242400 is 42421441.

It can be written as a sum of positive squares in 6 ways, for example, as 641710224 + 799532176 = 25332^2 + 28276^2 .

It is not an unprimeable number, because it can be changed into a prime (1441242403) 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, 58891 + ... + 79690.

Almost surely, 2^1441242400 is an apocalyptic number.

1441242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441242400 is an abundant number, since it is smaller than the sum of its proper divisors (2347866644).

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

1441242400 is a wasteful number, since it uses less digits than its factorization.

1441242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138614 (or 138601 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1441242400 is about 37963.6984499666. The cubic root of 1441242400 is about 1129.5679032924.

Adding to 1441242400 its reverse (42421441), we get a palindrome (1483663841).

The spelling of 1441242400 in words is "one billion, four hundred forty-one million, two hundred forty-two thousand, four hundred".