14250440151040 has 104 divisors (see below), whose sum is σ = 34414703725320. Its totient is φ = 5663867928576.

The previous prime is 14250440150923. The next prime is 14250440151047. The reversal of 14250440151040 is 4015104405241.

It can be written as a sum of positive squares in 4 ways, for example, as 241528999936 + 14008911151104 = 491456^2 + 3742848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14250440150993 and 14250440151011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250440151047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999366 + ... + 5431354.

Almost surely, 2^{14250440151040} is an apocalyptic number.

14250440151040 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 14250440151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207351862660).

14250440151040 is an abundant number, since it is smaller than the sum of its proper divisors (20164263574280).

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

14250440151040 is an equidigital number, since it uses as much as digits as its factorization.

14250440151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432175 (or 4432153 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 14250440151040 its reverse (4015104405241), we get a palindrome (18265544556281).

The spelling of 14250440151040 in words is "fourteen trillion, two hundred fifty billion, four hundred forty million, one hundred fifty-one thousand, forty".