5041100415168 has 224 divisors, whose sum is σ = 15390902334720. Its totient is φ = 1616790067200.

The previous prime is 5041100415157. The next prime is 5041100415191. The reversal of 5041100415168 is 8615140011405.

5041100415168 is a `hidden beast` number, since 50 + 41 + 10 + 0 + 41 + 516 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4472068 + ... + 5484668.

Almost surely, 2^{5041100415168} 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 5041100415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695451167360).

5041100415168 is an abundant number, since it is smaller than the sum of its proper divisors (10349801919552).

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

5041100415168 is a wasteful number, since it uses less digits than its factorization.

5041100415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012732 (or 1012716 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 5041100415168 in words is "five trillion, forty-one billion, one hundred million, four hundred fifteen thousand, one hundred sixty-eight".