1152305540440 has 32 divisors (see below), whose sum is σ = 2593459172160. Its totient is φ = 460785024000.

The previous prime is 1152305540293. The next prime is 1152305540527. The reversal of 1152305540440 is 440455032511.

It is a junction number, because it is equal to n+sod(n) for n = 1152305540396 and 1152305540405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4151136 + ... + 4420015.

It is an arithmetic number, because the mean of its divisors is an integer number (81045599130).

Almost surely, 2^{1152305540440} is an apocalyptic number.

1152305540440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152305540440 is an abundant number, since it is smaller than the sum of its proper divisors (1441153631720).

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

1152305540440 is a wasteful number, since it uses less digits than its factorization.

1152305540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574523 (or 8574519 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1152305540440 in words is "one trillion, one hundred fifty-two billion, three hundred five million, five hundred forty thousand, four hundred forty".