13286471040 has 512 divisors, whose sum is σ = 51466752000. Its totient is φ = 3224862720.

The previous prime is 13286471021. The next prime is 13286471047. The reversal of 13286471040 is 4017468231.

13286471040 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 647 + 1 + 0 + 4 + 0 = 666.

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 = 13286470986 and 13286471004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286471047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9105831 + ... + 9107289.

It is an arithmetic number, because the mean of its divisors is an integer number (100521000).

Almost surely, 2^13286471040 is an apocalyptic number.

13286471040 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 13286471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25733376000).

13286471040 is an abundant number, since it is smaller than the sum of its proper divisors (38180280960).

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

13286471040 is a wasteful number, since it uses less digits than its factorization.

13286471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13286471040 in words is "thirteen billion, two hundred eighty-six million, four hundred seventy-one thousand, forty".