13884407040 has 288 divisors, whose sum is σ = 51077892096. Its totient is φ = 3148554240.

The previous prime is 13884407023. The next prime is 13884407051. The reversal of 13884407040 is 4070448831.

It is a self number, because there is not a number n which added to its sum of digits gives 13884407040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3519309 + ... + 3523251.

It is an arithmetic number, because the mean of its divisors is an integer number (177353792).

Almost surely, 2^13884407040 is an apocalyptic number.

13884407040 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 13884407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538946048).

13884407040 is an abundant number, since it is smaller than the sum of its proper divisors (37193485056).

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

13884407040 is a wasteful number, since it uses less digits than its factorization.

13884407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 13884407040 in words is "thirteen billion, eight hundred eighty-four million, four hundred seven thousand, forty".