13214269440 has 180 divisors, whose sum is σ = 45810625224. Its totient is φ = 3523608576.

The previous prime is 13214269421. The next prime is 13214269459. The reversal of 13214269440 is 4496241231.

13214269440 is a `hidden beast` number, since 13 + 2 + 142 + 69 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (13214269421) and next prime (13214269459).

It is a tau number, because it is divible by the number of its divisors (180).

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 = 13214269395 and 13214269404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728319 + ... + 746241.

Almost surely, 2^13214269440 is an apocalyptic number.

13214269440 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 13214269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905312612).

13214269440 is an abundant number, since it is smaller than the sum of its proper divisors (32596355784).

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

13214269440 is an equidigital number, since it uses as much as digits as its factorization.

13214269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17933 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13214269440 in words is "thirteen billion, two hundred fourteen million, two hundred sixty-nine thousand, four hundred forty".