5200144200405 has 288 divisors, whose sum is σ = 11721477081600. Its totient is φ = 2108176761600.

The previous prime is 5200144200371. The next prime is 5200144200467. The reversal of 5200144200405 is 5040024410025.

5200144200405 is a `hidden beast` number, since 5 + 200 + 14 + 42 + 0 + 0 + 405 = 666.

It is not a de Polignac number, because 5200144200405 - 2⁸ = 5200144200149 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187453026 + ... + 187480764.

It is an arithmetic number, because the mean of its divisors is an integer number (40699573200).

Almost surely, 2^{5200144200405} is an apocalyptic number.

5200144200405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5200144200405 is an abundant number, since it is smaller than the sum of its proper divisors (6521332881195).

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

5200144200405 is a wasteful number, since it uses less digits than its factorization.

5200144200405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27965 (or 27955 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 5200144200405 in words is "five trillion, two hundred billion, one hundred forty-four million, two hundred thousand, four hundred five".