13405500044400 has 240 divisors, whose sum is σ = 43866501364224. Its totient is φ = 3497898762240.

The previous prime is 13405500044327. The next prime is 13405500044411. The reversal of 13405500044400 is 444000550431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 254506867 + ... + 254559533.

Almost surely, 2^{13405500044400} is an apocalyptic number.

13405500044400 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 13405500044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933250682112).

13405500044400 is an abundant number, since it is smaller than the sum of its proper divisors (30461001319824).

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

13405500044400 is a wasteful number, since it uses less digits than its factorization.

13405500044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57248 (or 57237 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 13405500044400 its reverse (444000550431), we get a palindrome (13849500594831).

The spelling of 13405500044400 in words is "thirteen trillion, four hundred five billion, five hundred million, forty-four thousand, four hundred".