13821284440 has 16 divisors (see below), whose sum is σ = 31097890080. Its totient is φ = 5528513760.

The previous prime is 13821284423. The next prime is 13821284441. The reversal of 13821284440 is 4448212831.

It is a super-2 number, since 2×13821284440² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13821284440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13821284441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172766016 + ... + 172766095.

It is an arithmetic number, because the mean of its divisors is an integer number (1943618130).

Almost surely, 2^13821284440 is an apocalyptic number.

13821284440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13821284440 is an abundant number, since it is smaller than the sum of its proper divisors (17276605640).

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

13821284440 is a wasteful number, since it uses less digits than its factorization.

13821284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345532122 (or 345532118 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 13821284440 in words is "thirteen billion, eight hundred twenty-one million, two hundred eighty-four thousand, four hundred forty".