5120330400 has 216 divisors, whose sum is σ = 18440944704. Its totient is φ = 1336281600.

The previous prime is 5120330389. The next prime is 5120330401. The reversal of 5120330400 is 40330215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5120330401) 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 35 ways as a sum of consecutive naturals, for example, 330835 + ... + 345965.

It is an arithmetic number, because the mean of its divisors is an integer number (85374744).

Almost surely, 2^5120330400 is an apocalyptic number.

5120330400 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 5120330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220472352).

5120330400 is an abundant number, since it is smaller than the sum of its proper divisors (13320614304).

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

5120330400 is a wasteful number, since it uses less digits than its factorization.

5120330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5120330400 is about 71556.4839829348. The cubic root of 5120330400 is about 1723.5848254583.

Adding to 5120330400 its reverse (40330215), we get a palindrome (5160660615).

The spelling of 5120330400 in words is "five billion, one hundred twenty million, three hundred thirty thousand, four hundred".