1141026789120 has 288 divisors, whose sum is σ = 3682765880640. Its totient is φ = 301057966080.

The previous prime is 1141026789109. The next prime is 1141026789143. The reversal of 1141026789120 is 219876201411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393863512 + ... + 393866408.

It is an arithmetic number, because the mean of its divisors is an integer number (12787381530).

Almost surely, 2^{1141026789120} is an apocalyptic number.

1141026789120 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 1141026789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841382940320).

1141026789120 is an abundant number, since it is smaller than the sum of its proper divisors (2541739091520).

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

1141026789120 is a wasteful number, since it uses less digits than its factorization.

1141026789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 1141026789120 in words is "one trillion, one hundred forty-one billion, twenty-six million, seven hundred eighty-nine thousand, one hundred twenty".