13475207440 has 80 divisors (see below), whose sum is σ = 31882981680. Its totient is φ = 5295144960.

The previous prime is 13475207429. The next prime is 13475207491. The reversal of 13475207440 is 4470257431.

It can be written as a sum of positive squares in 8 ways, for example, as 252047376 + 13223160064 = 15876^2 + 114992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13475207440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328296 + ... + 6330424.

It is an arithmetic number, because the mean of its divisors is an integer number (398537271).

Almost surely, 2^13475207440 is an apocalyptic number.

13475207440 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 13475207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941490840).

13475207440 is an abundant number, since it is smaller than the sum of its proper divisors (18407774240).

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

13475207440 is a wasteful number, since it uses less digits than its factorization.

13475207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 13475207440 in words is "thirteen billion, four hundred seventy-five million, two hundred seven thousand, four hundred forty".