1140001234000 has 80 divisors (see below), whose sum is σ = 2759736133440. Its totient is φ = 455468956800.

The previous prime is 1140001233971. The next prime is 1140001234003. The reversal of 1140001234000 is 4321000411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1140001234000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140001234003) by changing a digit.

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, 1386219 + ... + 2049781.

It is an arithmetic number, because the mean of its divisors is an integer number (34496701668).

Almost surely, 2^{1140001234000} is an apocalyptic number.

1140001234000 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 1140001234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379868066720).

1140001234000 is an abundant number, since it is smaller than the sum of its proper divisors (1619734899440).

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

1140001234000 is an equidigital number, since it uses as much as digits as its factorization.

1140001234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664445 (or 664429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1140001234000 its reverse (4321000411), we get a palindrome (1144322234411).

The spelling of 1140001234000 in words is "one trillion, one hundred forty billion, one million, two hundred thirty-four thousand".