1134240442144 has 96 divisors (see below), whose sum is σ = 2374750224000. Its totient is φ = 531754481664.

The previous prime is 1134240442073. The next prime is 1134240442199. The reversal of 1134240442144 is 4412440424311.

It is a super-2 number, since 2×1134240442144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63148237 + ... + 63166195.

It is an arithmetic number, because the mean of its divisors is an integer number (24736981500).

Almost surely, 2^{1134240442144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134240442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187375112000).

1134240442144 is an abundant number, since it is smaller than the sum of its proper divisors (1240509781856).

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

1134240442144 is a wasteful number, since it uses less digits than its factorization.

1134240442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19042 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 1134240442144 its reverse (4412440424311), we get a palindrome (5546680866455).

The spelling of 1134240442144 in words is "one trillion, one hundred thirty-four billion, two hundred forty million, four hundred forty-two thousand, one hundred forty-four".