20400442422144 has 256 divisors, whose sum is σ = 57840976212480. Its totient is φ = 6348492767232.

The previous prime is 20400442422133. The next prime is 20400442422181. The reversal of 20400442422144 is 44122424400402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437163357 + ... + 437210019.

It is an arithmetic number, because the mean of its divisors is an integer number (225941313330).

Almost surely, 2^{20400442422144} is an apocalyptic number.

20400442422144 is a gapful number since it is divisible by the number (24) 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 20400442422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28920488106240).

20400442422144 is an abundant number, since it is smaller than the sum of its proper divisors (37440533790336).

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

20400442422144 is a wasteful number, since it uses less digits than its factorization.

20400442422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47237 (or 47225 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 20400442422144 its reverse (44122424400402), we get a palindrome (64522866822546).

The spelling of 20400442422144 in words is "twenty trillion, four hundred billion, four hundred forty-two million, four hundred twenty-two thousand, one hundred forty-four".