5004431342400 has 672 divisors, whose sum is σ = 19024108093440. Its totient is φ = 1128136826880.

The previous prime is 5004431342399. The next prime is 5004431342401. The reversal of 5004431342400 is 42431344005.

It is an interprime number because it is at equal distance from previous prime (5004431342399) and next prime (5004431342401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004431342401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738222211 + ... + 738228989.

Almost surely, 2^{5004431342400} is an apocalyptic number.

5004431342400 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 5004431342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512054046720).

5004431342400 is an abundant number, since it is smaller than the sum of its proper divisors (14019676751040).

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

5004431342400 is a wasteful number, since it uses less digits than its factorization.

5004431342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 5004431342400 its reverse (42431344005), we get a palindrome (5046862686405).

The spelling of 5004431342400 in words is "five trillion, four billion, four hundred thirty-one million, three hundred forty-two thousand, four hundred".