1441242367488 has 1600 divisors, whose sum is σ = 5646881433600. Its totient is φ = 355053404160.

The previous prime is 1441242367457. The next prime is 1441242367553. The reversal of 1441242367488 is 8847632421441.

1441242367488 is a `hidden beast` number, since 1 + 4 + 4 + 124 + 2 + 36 + 7 + 488 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 159 ways as a sum of consecutive naturals, for example, 7315951006 + ... + 7315951202.

It is an arithmetic number, because the mean of its divisors is an integer number (3529300896).

Almost surely, 2^{1441242367488} is an apocalyptic number.

1441242367488 is a gapful number since it is divisible by the number (18) 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 1441242367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823440716800).

1441242367488 is an abundant number, since it is smaller than the sum of its proper divisors (4205639066112).

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

1441242367488 is a wasteful number, since it uses less digits than its factorization.

1441242367488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 1441242367488 in words is "one trillion, four hundred forty-one billion, two hundred forty-two million, three hundred sixty-seven thousand, four hundred eighty-eight".