13080781440 has 384 divisors, whose sum is σ = 46762185600. Its totient is φ = 3367526400.

The previous prime is 13080781429. The next prime is 13080781457. The reversal of 13080781440 is 4418708031.

13080781440 is a `hidden beast` number, since 130 + 8 + 0 + 7 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13080781440² (a number of 21 digits) contains 22 as substring.

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 = 13080781395 and 13080781404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20729925 + ... + 20730555.

It is an arithmetic number, because the mean of its divisors is an integer number (121776525).

Almost surely, 2^13080781440 is an apocalyptic number.

13080781440 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 13080781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381092800).

13080781440 is an abundant number, since it is smaller than the sum of its proper divisors (33681404160).

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

13080781440 is a wasteful number, since it uses less digits than its factorization.

13080781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13080781440 in words is "thirteen billion, eighty million, seven hundred eighty-one thousand, four hundred forty".