140012241104000 has 128 divisors (see below), whose sum is σ = 348195376030320. Its totient is φ = 55990426214400.

The previous prime is 140012241103993. The next prime is 140012241104033. The reversal of 140012241104000 is 401142210041.

It can be written as a sum of positive squares in 8 ways, for example, as 21383373614656 + 118628867489344 = 4624216^2 + 10891688^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60903452 + ... + 63160548.

Almost surely, 2^{140012241104000} is an apocalyptic number.

140012241104000 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 140012241104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174097688015160).

140012241104000 is an abundant number, since it is smaller than the sum of its proper divisors (208183134926320).

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

140012241104000 is an equidigital number, since it uses as much as digits as its factorization.

140012241104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261003 (or 2260981 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140012241104000 its reverse (401142210041), we get a palindrome (140413383314041).

The spelling of 140012241104000 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, one hundred four thousand".