1155606859440 has 240 divisors, whose sum is σ = 4236317429760. Its totient is φ = 279975467520.

The previous prime is 1155606859427. The next prime is 1155606859481. The reversal of 1155606859440 is 449586065511.

It is a happy number.

1155606859440 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 0 + 6 + 8 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1155606859440² (a number of 25 digits) contains 22 as substring.

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, 13127091 + ... + 13214829.

It is an arithmetic number, because the mean of its divisors is an integer number (17651322624).

Almost surely, 2^{1155606859440} is an apocalyptic number.

1155606859440 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 1155606859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118158714880).

1155606859440 is an abundant number, since it is smaller than the sum of its proper divisors (3080710570320).

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

1155606859440 is a wasteful number, since it uses less digits than its factorization.

1155606859440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89432 (or 89423 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1155606859440 in words is "one trillion, one hundred fifty-five billion, six hundred six million, eight hundred fifty-nine thousand, four hundred forty".