1540053333440 has 112 divisors (see below), whose sum is σ = 3795379048800. Its totient is φ = 594517389312.

The previous prime is 1540053333439. The next prime is 1540053333449. The reversal of 1540053333440 is 443333500451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540053333440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540053333449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21744806 + ... + 21815514.

Almost surely, 2^{1540053333440} is an apocalyptic number.

1540053333440 is a gapful number since it is divisible by the number (10) 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 1540053333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897689524400).

1540053333440 is an abundant number, since it is smaller than the sum of its proper divisors (2255325715360).

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

1540053333440 is a wasteful number, since it uses less digits than its factorization.

1540053333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73102 (or 73092 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 1540053333440 its reverse (443333500451), we get a palindrome (1983386833891).

The spelling of 1540053333440 in words is "one trillion, five hundred forty billion, fifty-three million, three hundred thirty-three thousand, four hundred forty".