14411031140000 has 240 divisors, whose sum is σ = 38757352677120. Its totient is φ = 5229396480000.

The previous prime is 14411031139987. The next prime is 14411031140017. The reversal of 14411031140000 is 4113011441.

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

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 39 ways as a sum of consecutive naturals, for example, 105311624 + ... + 105448376.

It is an arithmetic number, because the mean of its divisors is an integer number (161488969488).

Almost surely, 2^{14411031140000} is an apocalyptic number.

14411031140000 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 14411031140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378676338560).

14411031140000 is an abundant number, since it is smaller than the sum of its proper divisors (24346321537120).

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

14411031140000 is a wasteful number, since it uses less digits than its factorization.

14411031140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137273 (or 137250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14411031140000 its reverse (4113011441), we get a palindrome (14415144151441).

The spelling of 14411031140000 in words is "fourteen trillion, four hundred eleven billion, thirty-one million, one hundred forty thousand".