5001350400 has 432 divisors, whose sum is σ = 18583393920. Its totient is φ = 1316044800.

The previous prime is 5001350383. The next prime is 5001350401. The reversal of 5001350400 is 40531005.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001350401) 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 47 ways as a sum of consecutive naturals, for example, 17798260 + ... + 17798540.

Almost surely, 2^5001350400 is an apocalyptic number.

5001350400 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 5001350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291696960).

5001350400 is an abundant number, since it is smaller than the sum of its proper divisors (13582043520).

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

5001350400 is a wasteful number, since it uses less digits than its factorization.

5001350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5001350400 is about 70720.2262439820. The cubic root of 5001350400 is about 1710.1298762543.

Adding to 5001350400 its reverse (40531005), we get a palindrome (5041881405).

The spelling of 5001350400 in words is "five billion, one million, three hundred fifty thousand, four hundred".