13405501445440 has 168 divisors, whose sum is σ = 34591631271768. Its totient is φ = 4946091171840.

The previous prime is 13405501445389. The next prime is 13405501445507. The reversal of 13405501445440 is 4454410550431.

It can be written as a sum of positive squares in 12 ways, for example, as 5681281999936 + 7724219445504 = 2383544^2 + 2779248^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13405501445393 and 13405501445402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74161570 + ... + 74342110.

Almost surely, 2^{13405501445440} is an apocalyptic number.

13405501445440 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 13405501445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295815635884).

13405501445440 is an abundant number, since it is smaller than the sum of its proper divisors (21186129826328).

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

13405501445440 is a wasteful number, since it uses less digits than its factorization.

13405501445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181957 (or 181934 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 13405501445440 its reverse (4454410550431), we get a palindrome (17859911995871).

The spelling of 13405501445440 in words is "thirteen trillion, four hundred five billion, five hundred one million, four hundred forty-five thousand, four hundred forty".