1152042411040 has 192 divisors, whose sum is σ = 2901974584320. Its totient is φ = 431239818240.

The previous prime is 1152042411029. The next prime is 1152042411053. The reversal of 1152042411040 is 401142402511.

It is a junction number, because it is equal to n+sod(n) for n = 1152042410996 and 1152042411014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45799747 + ... + 45824893.

It is an arithmetic number, because the mean of its divisors is an integer number (15114450960).

Almost surely, 2^{1152042411040} is an apocalyptic number.

1152042411040 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 1152042411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450987292160).

1152042411040 is an abundant number, since it is smaller than the sum of its proper divisors (1749932173280).

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

1152042411040 is a wasteful number, since it uses less digits than its factorization.

1152042411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455 (or 25447 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1152042411040 its reverse (401142402511), we get a palindrome (1553184813551).

The spelling of 1152042411040 in words is "one trillion, one hundred fifty-two billion, forty-two million, four hundred eleven thousand, forty".