1442242410400 has 72 divisors (see below), whose sum is σ = 3840953788224. Its totient is φ = 524451782400.

The previous prime is 1442242410347. The next prime is 1442242410407. The reversal of 1442242410400 is 40142422441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1442242410407) 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, 81936792 + ... + 81954391.

It is an arithmetic number, because the mean of its divisors is an integer number (53346580392).

Almost surely, 2^{1442242410400} is an apocalyptic number.

1442242410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442242410400 is an abundant number, since it is smaller than the sum of its proper divisors (2398711377824).

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

1442242410400 is a wasteful number, since it uses less digits than its factorization.

1442242410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163891214 (or 163891201 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1442242410400 its reverse (40142422441), we get a palindrome (1482384832841).

The spelling of 1442242410400 in words is "one trillion, four hundred forty-two billion, two hundred forty-two million, four hundred ten thousand, four hundred".