5134051430400 has 312 divisors, whose sum is σ = 16983577182880. Its totient is φ = 1368350392320.

The previous prime is 5134051430371. The next prime is 5134051430461. The reversal of 5134051430400 is 40341504315.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824214486 + ... + 824220714.

Almost surely, 2^{5134051430400} is an apocalyptic number.

5134051430400 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 5134051430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491788591440).

5134051430400 is an abundant number, since it is smaller than the sum of its proper divisors (11849525752480).

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

5134051430400 is a wasteful number, since it uses less digits than its factorization.

5134051430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 5134051430400 its reverse (40341504315), we get a palindrome (5174392934715).

The spelling of 5134051430400 in words is "five trillion, one hundred thirty-four billion, fifty-one million, four hundred thirty thousand, four hundred".