13158973440 has 432 divisors, whose sum is σ = 48091706208. Its totient is φ = 3321888768.

The previous prime is 13158973427. The next prime is 13158973441. The reversal of 13158973440 is 4437985131.

13158973440 is a `hidden beast` number, since 1 + 31 + 589 + 7 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13158973441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135659472 + ... + 135659568.

It is an arithmetic number, because the mean of its divisors is an integer number (111323394).

Almost surely, 2^13158973440 is an apocalyptic number.

13158973440 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 13158973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045853104).

13158973440 is an abundant number, since it is smaller than the sum of its proper divisors (34932732768).

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

13158973440 is an frugal number, since it uses more digits than its factorization.

13158973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13158973440 in words is "thirteen billion, one hundred fifty-eight million, nine hundred seventy-three thousand, four hundred forty".