13180645040 has 80 divisors (see below), whose sum is σ = 32472088320. Its totient is φ = 4961606400.

The previous prime is 13180645019. The next prime is 13180645061. The reversal of 13180645040 is 4054608131.

It is an interprime number because it is at equal distance from previous prime (13180645019) and next prime (13180645061).

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

It is a junction number, because it is equal to n+sod(n) for n = 13180644988 and 13180645006.

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, 200807 + ... + 258233.

It is an arithmetic number, because the mean of its divisors is an integer number (405901104).

Almost surely, 2^13180645040 is an apocalyptic number.

13180645040 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 13180645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236044160).

13180645040 is an abundant number, since it is smaller than the sum of its proper divisors (19291443280).

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

13180645040 is a wasteful number, since it uses less digits than its factorization.

13180645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57610 (or 57604 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 13180645040 in words is "thirteen billion, one hundred eighty million, six hundred forty-five thousand, forty".