20131327944 has 768 divisors, whose sum is σ = 75479040000. Its totient is φ = 4696952832.

The previous prime is 20131327939. The next prime is 20131327961. The reversal of 20131327944 is 44972313102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20131327899 and 20131327908.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226194652 + ... + 226194740.

It is an arithmetic number, because the mean of its divisors is an integer number (98280000).

Almost surely, 2^20131327944 is an apocalyptic number.

20131327944 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 20131327944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520000).

20131327944 is an abundant number, since it is smaller than the sum of its proper divisors (55347712056).

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

20131327944 is a wasteful number, since it uses less digits than its factorization.

20131327944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20131327944 in words is "twenty billion, one hundred thirty-one million, three hundred twenty-seven thousand, nine hundred forty-four".