5126441916400 has 240 divisors, whose sum is σ = 14472696902400. Its totient is φ = 1744214035200.

The previous prime is 5126441916377. The next prime is 5126441916451. The reversal of 5126441916400 is 46191446215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17830587 + ... + 18115813.

It is an arithmetic number, because the mean of its divisors is an integer number (60302903760).

Almost surely, 2^{5126441916400} is an apocalyptic number.

5126441916400 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 5126441916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236348451200).

5126441916400 is an abundant number, since it is smaller than the sum of its proper divisors (9346254986000).

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

5126441916400 is a wasteful number, since it uses less digits than its factorization.

5126441916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285397 (or 285372 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 5126441916400 in words is "five trillion, one hundred twenty-six billion, four hundred forty-one million, nine hundred sixteen thousand, four hundred".