1442324385792 has 416 divisors, whose sum is σ = 4612804243200. Its totient is φ = 443991195648.

The previous prime is 1442324385791. The next prime is 1442324385833. The reversal of 1442324385792 is 2975834232441.

1442324385792 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 32 + 4 + 38 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1442324385791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73755088 + ... + 73774640.

Almost surely, 2^{1442324385792} is an apocalyptic number.

1442324385792 is a gapful number since it is divisible by the number (12) 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 1442324385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306402121600).

1442324385792 is an abundant number, since it is smaller than the sum of its proper divisors (3170479857408).

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

1442324385792 is a wasteful number, since it uses less digits than its factorization.

1442324385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638 (or 19610 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 1442324385792 in words is "one trillion, four hundred forty-two billion, three hundred twenty-four million, three hundred eighty-five thousand, seven hundred ninety-two".