1535540341144 has 48 divisors (see below), whose sum is σ = 3111487863120. Its totient is φ = 709065033600.

The previous prime is 1535540341133. The next prime is 1535540341147. The reversal of 1535540341144 is 4411430455351.

It is a junction number, because it is equal to n+sod(n) for n = 1535540341097 and 1535540341106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535540341147) 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, 4806807 + ... + 5116294.

It is an arithmetic number, because the mean of its divisors is an integer number (64822663815).

Almost surely, 2^{1535540341144} is an apocalyptic number.

It is an amenable number.

1535540341144 is an abundant number, since it is smaller than the sum of its proper divisors (1575947521976).

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

1535540341144 is a wasteful number, since it uses less digits than its factorization.

1535540341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923188 (or 9923155 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 1535540341144 its reverse (4411430455351), we get a palindrome (5946970796495).

The spelling of 1535540341144 in words is "one trillion, five hundred thirty-five billion, five hundred forty million, three hundred forty-one thousand, one hundred forty-four".