1442246400 has 648 divisors, whose sum is σ = 6095616800. Its totient is φ = 325140480.

The previous prime is 1442246353. The next prime is 1442246413. The reversal of 1442246400 is 46422441.

It is a happy number.

1442246400 is a `hidden beast` number, since 14 + 4 + 2 + 2 + 4 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 19756764 + ... + 19756836.

Almost surely, 2^1442246400 is an apocalyptic number.

1442246400 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 1442246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047808400).

1442246400 is an abundant number, since it is smaller than the sum of its proper divisors (4653370400).

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

1442246400 is an equidigital number, since it uses as much as digits as its factorization.

1442246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1442246400 is about 37976.9193063366. The cubic root of 1442246400 is about 1129.8301360562.

Adding to 1442246400 its reverse (46422441), we get a palindrome (1488668841).

The spelling of 1442246400 in words is "one billion, four hundred forty-two million, two hundred forty-six thousand, four hundred".