1442224110400 has 84 divisors (see below), whose sum is σ = 3663249366400. Its totient is φ = 558280281600.

The previous prime is 1442224110359. The next prime is 1442224110401. The reversal of 1442224110400 is 40114222441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442224110401) 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, 14488950 + ... + 14588149.

Almost surely, 2^{1442224110400} is an apocalyptic number.

1442224110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442224110400 is an abundant number, since it is smaller than the sum of its proper divisors (2221025256000).

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

1442224110400 is a wasteful number, since it uses less digits than its factorization.

1442224110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29077152 (or 29077137 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1442224110400 its reverse (40114222441), we get a palindrome (1482338332841).

The spelling of 1442224110400 in words is "one trillion, four hundred forty-two billion, two hundred twenty-four million, one hundred ten thousand, four hundred".