1159166077440 has 480 divisors, whose sum is σ = 4349030304960. Its totient is φ = 262597902336.

The previous prime is 1159166077439. The next prime is 1159166077481. The reversal of 1159166077440 is 447706619511.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42510531 + ... + 42537789.

It is an arithmetic number, because the mean of its divisors is an integer number (9060479802).

Almost surely, 2^{1159166077440} is an apocalyptic number.

1159166077440 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 1159166077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174515152480).

1159166077440 is an abundant number, since it is smaller than the sum of its proper divisors (3189864227520).

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

1159166077440 is a wasteful number, since it uses less digits than its factorization.

1159166077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27412 (or 27389 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 1159166077440 in words is "one trillion, one hundred fifty-nine billion, one hundred sixty-six million, seventy-seven thousand, four hundred forty".