1111414134000 has 320 divisors, whose sum is σ = 3865578837120. Its totient is φ = 273678745600.

The previous prime is 1111414133993. The next prime is 1111414134091. The reversal of 1111414134000 is 4314141111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5303206 + ... + 5508794.

It is an arithmetic number, because the mean of its divisors is an integer number (12079933866).

Almost surely, 2^{1111414134000} is an apocalyptic number.

1111414134000 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 1111414134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932789418560).

1111414134000 is an abundant number, since it is smaller than the sum of its proper divisors (2754164703120).

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

1111414134000 is a wasteful number, since it uses less digits than its factorization.

1111414134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205685 (or 205669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1111414134000 its reverse (4314141111), we get a palindrome (1115728275111).

The spelling of 1111414134000 in words is "one trillion, one hundred eleven billion, four hundred fourteen million, one hundred thirty-four thousand".