5041123776 has 560 divisors, whose sum is σ = 17624104960. Its totient is φ = 1410877440.

The previous prime is 5041123741. The next prime is 5041123777. The reversal of 5041123776 is 6773211405.

It is a happy number.

5041123776 is a `hidden beast` number, since 5 + 0 + 411 + 237 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5041123776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041123777) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39693825 + ... + 39693951.

It is an arithmetic number, because the mean of its divisors is an integer number (31471616).

Almost surely, 2^5041123776 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 5041123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812052480).

5041123776 is an abundant number, since it is smaller than the sum of its proper divisors (12582981184).

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

5041123776 is a wasteful number, since it uses less digits than its factorization.

5041123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5041123776 is about 71000.8716566212. The cubic root of 5041123776 is about 1714.6511969314.

The spelling of 5041123776 in words is "five billion, forty-one million, one hundred twenty-three thousand, seven hundred seventy-six".