1442131517541 has 48 divisors (see below), whose sum is σ = 2274169167360. Its totient is φ = 805808727360.

The previous prime is 1442131517483. The next prime is 1442131517557. The reversal of 1442131517541 is 1457151312441.

It is not a de Polignac number, because 1442131517541 - 2¹³ = 1442131509349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1442131517541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442131517041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4455840 + ... + 4768518.

It is an arithmetic number, because the mean of its divisors is an integer number (47378524320).

Almost surely, 2^{1442131517541} is an apocalyptic number.

1442131517541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442131517541 is a deficient number, since it is larger than the sum of its proper divisors (832037649819).

1442131517541 is a wasteful number, since it uses less digits than its factorization.

1442131517541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313546 (or 313533 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

Adding to 1442131517541 its reverse (1457151312441), we get a palindrome (2899282829982).

The spelling of 1442131517541 in words is "one trillion, four hundred forty-two billion, one hundred thirty-one million, five hundred seventeen thousand, five hundred forty-one".