1140404121120 has 384 divisors, whose sum is σ = 4156026900480. Its totient is φ = 259781345280.

The previous prime is 1140404121083. The next prime is 1140404121121. The reversal of 1140404121120 is 211214040411.

It is not an unprimeable number, because it can be changed into a prime (1140404121121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57705801 + ... + 57725559.

It is an arithmetic number, because the mean of its divisors is an integer number (10822986720).

Almost surely, 2^{1140404121120} is an apocalyptic number.

1140404121120 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 1140404121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078013450240).

1140404121120 is an abundant number, since it is smaller than the sum of its proper divisors (3015622779360).

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

1140404121120 is a wasteful number, since it uses less digits than its factorization.

1140404121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1140404121120 its reverse (211214040411), we get a palindrome (1351618161531).

The spelling of 1140404121120 in words is "one trillion, one hundred forty billion, four hundred four million, one hundred twenty-one thousand, one hundred twenty".