13180413840 has 280 divisors, whose sum is σ = 46395054336. Its totient is φ = 3092179200.

The previous prime is 13180413823. The next prime is 13180413877. The reversal of 13180413840 is 4831408131.

It is a super-3 number, since 3×13180413840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 425174625 + ... + 425174655.

Almost surely, 2^13180413840 is an apocalyptic number.

13180413840 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 13180413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23197527168).

13180413840 is an abundant number, since it is smaller than the sum of its proper divisors (33214640496).

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

13180413840 is an frugal number, since it uses more digits than its factorization.

13180413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 13180413840 in words is "thirteen billion, one hundred eighty million, four hundred thirteen thousand, eight hundred forty".