5047414041600 has 1716 divisors, whose sum is σ = 21852912489264. Its totient is φ = 1131926814720.

The previous prime is 5047414041577. The next prime is 5047414041601. The reversal of 5047414041600 is 61404147405.

It is a happy number.

5047414041600 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 4 + 1 + 4 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047414041601) by changing a digit.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 95234227174 + ... + 95234227226.

Almost surely, 2^{5047414041600} is an apocalyptic number.

5047414041600 is a gapful number since it is divisible by the number (50) 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 5047414041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926456244632).

5047414041600 is an abundant number, since it is smaller than the sum of its proper divisors (16805498447664).

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

5047414041600 is an frugal number, since it uses more digits than its factorization.

5047414041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5047414041600 in words is "five trillion, forty-seven billion, four hundred fourteen million, forty-one thousand, six hundred".