1540061080344 has 128 divisors (see below), whose sum is σ = 4338363960000. Its totient is φ = 506109606912.

The previous prime is 1540061080339. The next prime is 1540061080351. The reversal of 1540061080344 is 4430801600451.

1540061080344 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 0 + 610 + 8 + 0 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1540061080299 and 1540061080308.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40173474 + ... + 40211790.

Almost surely, 2^{1540061080344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540061080344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169181980000).

1540061080344 is an abundant number, since it is smaller than the sum of its proper divisors (2798302879656).

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

1540061080344 is a wasteful number, since it uses less digits than its factorization.

1540061080344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40954 (or 40944 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1540061080344 its reverse (4430801600451), we get a palindrome (5970862680795).

The spelling of 1540061080344 in words is "one trillion, five hundred forty billion, sixty-one million, eighty thousand, three hundred forty-four".