13066071040 has 176 divisors, whose sum is σ = 34546220064. Its totient is φ = 4702208000.

The previous prime is 13066070971. The next prime is 13066071041. The reversal of 13066071040 is 4017066031.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (13066071041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5687172 + ... + 5689468.

Almost surely, 2^13066071040 is an apocalyptic number.

13066071040 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 13066071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273110032).

13066071040 is an abundant number, since it is smaller than the sum of its proper divisors (21480149024).

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

13066071040 is a wasteful number, since it uses less digits than its factorization.

13066071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 13066071040 in words is "thirteen billion, sixty-six million, seventy-one thousand, forty".