13405437144 has 192 divisors, whose sum is σ = 42186493440. Its totient is φ = 3952229760.

The previous prime is 13405437127. The next prime is 13405437161. The reversal of 13405437144 is 44173450431.

13405437144 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 543 + 71 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (13405437127) and next prime (13405437161).

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 = 13405437099 and 13405437108.

It is a congruent number.

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, 782737 + ... + 799679.

It is an arithmetic number, because the mean of its divisors is an integer number (219721320).

Almost surely, 2^13405437144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405437144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21093246720).

13405437144 is an abundant number, since it is smaller than the sum of its proper divisors (28781056296).

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

13405437144 is a wasteful number, since it uses less digits than its factorization.

13405437144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17012 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 13405437144 its reverse (44173450431), we get a palindrome (57578887575).

The spelling of 13405437144 in words is "thirteen billion, four hundred five million, four hundred thirty-seven thousand, one hundred forty-four".