13431927040 has 216 divisors, whose sum is σ = 37597597632. Its totient is φ = 4584222720.

The previous prime is 13431927037. The next prime is 13431927049. The reversal of 13431927040 is 4072913431.

It is a junction number, because it is equal to n+sod(n) for n = 13431926987 and 13431927005.

It is not an unprimeable number, because it can be changed into a prime (13431927049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20759997 + ... + 20760643.

It is an arithmetic number, because the mean of its divisors is an integer number (174062952).

Almost surely, 2^13431927040 is an apocalyptic number.

13431927040 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 13431927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18798798816).

13431927040 is an abundant number, since it is smaller than the sum of its proper divisors (24165670592).

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

13431927040 is an equidigital number, since it uses as much as digits as its factorization.

13431927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 13431927040 in words is "thirteen billion, four hundred thirty-one million, nine hundred twenty-seven thousand, forty".