1441262400 has 168 divisors, whose sum is σ = 4749722784. Its totient is φ = 382617600.

The previous prime is 1441262399. The next prime is 1441262437. The reversal of 1441262400 is 42621441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357870 + ... + 1358930.

Almost surely, 2^1441262400 is an apocalyptic number.

1441262400 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 1441262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374861392).

1441262400 is an abundant number, since it is smaller than the sum of its proper divisors (3308460384).

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

1441262400 is a wasteful number, since it uses less digits than its factorization.

1441262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1441262400 is about 37963.9618585837. The cubic root of 1441262400 is about 1129.5731282412.

Adding to 1441262400 its reverse (42621441), we get a palindrome (1483883841).

The spelling of 1441262400 in words is "one billion, four hundred forty-one million, two hundred sixty-two thousand, four hundred".