1540726608960 has 2016 divisors, whose sum is σ = 6994333382400. Its totient is φ = 315976826880.

The previous prime is 1540726608923. The next prime is 1540726608961. The reversal of 1540726608960 is 698066270451.

1540726608960 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 7 + 26 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 1540726608897 and 1540726608906.

It is not an unprimeable number, because it can be changed into a prime (1540726608961) 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 287 ways as a sum of consecutive naturals, for example, 9813545202 + ... + 9813545358.

It is an arithmetic number, because the mean of its divisors is an integer number (3469411400).

Almost surely, 2^{1540726608960} is an apocalyptic number.

1540726608960 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 1540726608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497166691200).

1540726608960 is an abundant number, since it is smaller than the sum of its proper divisors (5453606773440).

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

1540726608960 is a wasteful number, since it uses less digits than its factorization.

1540726608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1540726608960 in words is "one trillion, five hundred forty billion, seven hundred twenty-six million, six hundred eight thousand, nine hundred sixty".