5004336770400 has 1728 divisors, whose sum is σ = 19986321293568. Its totient is φ = 1074216960000.

The previous prime is 5004336770387. The next prime is 5004336770423. The reversal of 5004336770400 is 40776334005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17683168659 + ... + 17683168941.

It is an arithmetic number, because the mean of its divisors is an integer number (11566158156).

Almost surely, 2^{5004336770400} is an apocalyptic number.

5004336770400 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 5004336770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993160646784).

5004336770400 is an abundant number, since it is smaller than the sum of its proper divisors (14981984523168).

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

5004336770400 is a wasteful number, since it uses less digits than its factorization.

5004336770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 5004336770400 in words is "five trillion, four billion, three hundred thirty-six million, seven hundred seventy thousand, four hundred".