1011041136000 has 2048 divisors, whose sum is σ = 4586322124800. Its totient is φ = 213663744000.

The previous prime is 1011041135939. The next prime is 1011041136031. The reversal of 1011041136000 is 6311401101.

1011041136000 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 41 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3649967862 + ... + 3649968138.

It is an arithmetic number, because the mean of its divisors is an integer number (2239415100).

Almost surely, 2^{1011041136000} is an apocalyptic number.

1011041136000 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 1011041136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293161062400).

1011041136000 is an abundant number, since it is smaller than the sum of its proper divisors (3575280988800).

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

1011041136000 is a wasteful number, since it uses less digits than its factorization.

1011041136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011041136000 its reverse (6311401101), we get a palindrome (1017352537101).

It can be divided in two parts, 1011041 and 136000, that added together give a square (1147041 = 1071²).

The spelling of 1011041136000 in words is "one trillion, eleven billion, forty-one million, one hundred thirty-six thousand".