1143534114240 has 448 divisors, whose sum is σ = 4213628937216. Its totient is φ = 257345814528.

The previous prime is 1143534114221. The next prime is 1143534114287. The reversal of 1143534114240 is 424114353411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1143534114240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335050774 + ... + 335054186.

Almost surely, 2^{1143534114240} is an apocalyptic number.

1143534114240 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 1143534114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106814468608).

1143534114240 is an abundant number, since it is smaller than the sum of its proper divisors (3070094822976).

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

1143534114240 is a wasteful number, since it uses less digits than its factorization.

1143534114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1143534114240 its reverse (424114353411), we get a palindrome (1567648467651).

The spelling of 1143534114240 in words is "one trillion, one hundred forty-three billion, five hundred thirty-four million, one hundred fourteen thousand, two hundred forty".