13771414540 has 72 divisors (see below), whose sum is σ = 31982368320. Its totient is φ = 4976584704.

The previous prime is 13771414523. The next prime is 13771414543. The reversal of 13771414540 is 4541417731.

It is a self number, because there is not a number n which added to its sum of digits gives 13771414540.

It is not an unprimeable number, because it can be changed into a prime (13771414543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115516 + ... + 202204.

It is an arithmetic number, because the mean of its divisors is an integer number (444199560).

Almost surely, 2^13771414540 is an apocalyptic number.

13771414540 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 13771414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991184160).

13771414540 is an abundant number, since it is smaller than the sum of its proper divisors (18210953780).

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

13771414540 is a wasteful number, since it uses less digits than its factorization.

13771414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86771 (or 86756 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 13771414540 in words is "thirteen billion, seven hundred seventy-one million, four hundred fourteen thousand, five hundred forty".