1130142000440 has 128 divisors (see below), whose sum is σ = 2660004748800. Its totient is φ = 431838712320.

The previous prime is 1130142000439. The next prime is 1130142000563. The reversal of 1130142000440 is 440002410311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11901389 + ... + 11995971.

It is an arithmetic number, because the mean of its divisors is an integer number (20781287100).

Almost surely, 2^{1130142000440} is an apocalyptic number.

1130142000440 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 1130142000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330002374400).

1130142000440 is an abundant number, since it is smaller than the sum of its proper divisors (1529862748360).

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

1130142000440 is a wasteful number, since it uses less digits than its factorization.

1130142000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94797 (or 94793 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1130142000440 its reverse (440002410311), we get a palindrome (1570144410751).

The spelling of 1130142000440 in words is "one trillion, one hundred thirty billion, one hundred forty-two million, four hundred forty", and thus it is an aban number.