1155040144000 has 64 divisors (see below), whose sum is σ = 2871718597800. Its totient is φ = 462016051200.

The previous prime is 1155040143997. The next prime is 1155040144061. The reversal of 1155040144000 is 4410405511.

It can be written as a sum of positive squares in 4 ways, for example, as 445038420544 + 710001723456 = 667112^2 + 842616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36079005 + ... + 36111004.

Almost surely, 2^{1155040144000} is an apocalyptic number.

1155040144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1155040144000 is an abundant number, since it is smaller than the sum of its proper divisors (1716678453800).

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

1155040144000 is an frugal number, since it uses more digits than its factorization.

1155040144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72190038 (or 72190016 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 1155040144000 its reverse (4410405511), we get a palindrome (1159450549511).

The spelling of 1155040144000 in words is "one trillion, one hundred fifty-five billion, forty million, one hundred forty-four thousand".