5038414920 has 512 divisors, whose sum is σ = 21441024000. Its totient is φ = 1021870080.

The previous prime is 5038414879. The next prime is 5038414921. The reversal of 5038414920 is 294148305.

5038414920 is a `hidden beast` number, since 503 + 8 + 4 + 149 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5038414921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3575176 + ... + 3576584.

It is an arithmetic number, because the mean of its divisors is an integer number (41877000).

Almost surely, 2^5038414920 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 5038414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720512000).

5038414920 is an abundant number, since it is smaller than the sum of its proper divisors (16402609080).

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

5038414920 is a wasteful number, since it uses less digits than its factorization.

5038414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5038414920 is about 70981.7928767652. The cubic root of 5038414920 is about 1714.3440183742.

The spelling of 5038414920 in words is "five billion, thirty-eight million, four hundred fourteen thousand, nine hundred twenty".