1540251189248 has 66 divisors (see below), whose sum is σ = 3084100356021. Its totient is φ = 769226964992.

The previous prime is 1540251189247. The next prime is 1540251189313. The reversal of 1540251189248 is 8429811520451.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1171520487424 + 368730701824 = 1082368^2 + 607232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=877568.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1540251189196 and 1540251189205.

It is not an unprimeable number, because it can be changed into a prime (1540251189247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1797258836 + ... + 1797259692.

Almost surely, 2^{1540251189248} 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 1540251189248

1540251189248 is an abundant number, since it is smaller than the sum of its proper divisors (1543849166773).

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

1540251189248 is an frugal number, since it uses more digits than its factorization.

1540251189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 50.

Multiplying 1540251189248 by its sum of digits (50), we get a square (77012559462400 = 8775680²).

The spelling of 1540251189248 in words is "one trillion, five hundred forty billion, two hundred fifty-one million, one hundred eighty-nine thousand, two hundred forty-eight".