5038619040 has 576 divisors, whose sum is σ = 22104472320. Its totient is φ = 1062512640.

The previous prime is 5038619011. The next prime is 5038619077. The reversal of 5038619040 is 409168305.

5038619040 is a `hidden beast` number, since 5 + 0 + 38 + 619 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5038618986 and 5038619004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750925 + ... + 2752755.

It is an arithmetic number, because the mean of its divisors is an integer number (38375820).

Almost surely, 2^5038619040 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 5038619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052236160).

5038619040 is an abundant number, since it is smaller than the sum of its proper divisors (17065853280).

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

5038619040 is a wasteful number, since it uses less digits than its factorization.

5038619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5038619040 is about 70983.2306957073. The cubic root of 5038619040 is about 1714.3671689867.

The spelling of 5038619040 in words is "five billion, thirty-eight million, six hundred nineteen thousand, forty".