1141100928000 has 1056 divisors, whose sum is σ = 4750633188288. Its totient is φ = 260308992000.

The previous prime is 1141100927999. The next prime is 1141100928029. The reversal of 1141100928000 is 8290011411.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×1141100928000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215421352 + ... + 215426648.

Almost surely, 2^{1141100928000} is an apocalyptic number.

1141100928000 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 1141100928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375316594144).

1141100928000 is an abundant number, since it is smaller than the sum of its proper divisors (3609532260288).

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

1141100928000 is a wasteful number, since it uses less digits than its factorization.

1141100928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 1141100928000 its reverse (8290011411), we get a palindrome (1149390939411).

The spelling of 1141100928000 in words is "one trillion, one hundred forty-one billion, one hundred million, nine hundred twenty-eight thousand".