1134024100000 has 864 divisors, whose sum is σ = 3357931172400. Its totient is φ = 375091200000.

The previous prime is 1134024099931. The next prime is 1134024100009. The reversal of 1134024100000 is 14204311.

It can be written as a sum of positive squares in 24 ways, for example, as 785201565456 + 348822534544 = 886116^2 + 590612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1134024100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7610899926 + ... + 7610900074.

Almost surely, 2^{1134024100000} is an apocalyptic number.

1134024100000 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 1134024100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678965586200).

1134024100000 is an abundant number, since it is smaller than the sum of its proper divisors (2223907072400).

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

1134024100000 is a wasteful number, since it uses less digits than its factorization.

1134024100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1134024100000 its reverse (14204311), we get a palindrome (1134038304311).

The spelling of 1134024100000 in words is "one trillion, one hundred thirty-four billion, twenty-four million, one hundred thousand".