12440820900144 has 1280 divisors, whose sum is σ = 44632343347200. Its totient is φ = 2893322944512.

The previous prime is 12440820900139. The next prime is 12440820900173. The reversal of 12440820900144 is 44100902804421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11382269262 + ... + 11382270354.

It is an arithmetic number, because the mean of its divisors is an integer number (34869018240).

Almost surely, 2^{12440820900144} is an apocalyptic number.

12440820900144 is a gapful number since it is divisible by the number (14) 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 12440820900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22316171673600).

12440820900144 is an abundant number, since it is smaller than the sum of its proper divisors (32191522447056).

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

12440820900144 is a wasteful number, since it uses less digits than its factorization.

12440820900144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12440820900144 in words is "twelve trillion, four hundred forty billion, eight hundred twenty million, nine hundred thousand, one hundred forty-four".