1140233066100 has 288 divisors, whose sum is σ = 4050018282240. Its totient is φ = 273733447680.

The previous prime is 1140233066059. The next prime is 1140233066131. The reversal of 1140233066100 is 16603320411.

1140233066100 is a `hidden beast` number, since 1 + 1 + 40 + 2 + 3 + 3 + 0 + 6 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 515664 + ... + 1595736.

It is an arithmetic number, because the mean of its divisors is an integer number (14062563480).

Almost surely, 2^{1140233066100} is an apocalyptic number.

1140233066100 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 1140233066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025009141120).

1140233066100 is an abundant number, since it is smaller than the sum of its proper divisors (2909785216140).

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

1140233066100 is a wasteful number, since it uses less digits than its factorization.

1140233066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080136 (or 1080123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1140233066100 its reverse (16603320411), we get a palindrome (1156836386511).

The spelling of 1140233066100 in words is "one trillion, one hundred forty billion, two hundred thirty-three million, sixty-six thousand, one hundred".