14146040500000 has 252 divisors, whose sum is σ = 36054957748446. Its totient is φ = 5463136000000.

The previous prime is 14146040499991. The next prime is 14146040500057. The reversal of 14146040500000 is 504064141.

It can be written as a sum of positive squares in 21 ways, for example, as 13767869618064 + 378170881936 = 3710508^2 + 614956^2 .

It is a super-2 number, since 2×14146040500000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 420483180 + ... + 420516820.

Almost surely, 2^{14146040500000} is an apocalyptic number.

14146040500000 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 14146040500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027478874223).

14146040500000 is an abundant number, since it is smaller than the sum of its proper divisors (21908917248446).

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

14146040500000 is an frugal number, since it uses more digits than its factorization.

14146040500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33739 (or 33677 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14146040500000 its reverse (504064141), we get a palindrome (14146544564141).

The spelling of 14146040500000 in words is "fourteen trillion, one hundred forty-six billion, forty million, five hundred thousand".