5314387478400 has 2304 divisors, whose sum is σ = 25779105031680. Its totient is φ = 1006608384000.

The previous prime is 5314387478311. The next prime is 5314387478443. The reversal of 5314387478400 is 48747834135.

5314387478400 is a `hidden beast` number, since 5 + 31 + 438 + 74 + 78 + 40 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2392789290 + ... + 2392791510.

It is an arithmetic number, because the mean of its divisors is an integer number (11188847670).

Almost surely, 2^{5314387478400} is an apocalyptic number.

5314387478400 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 5314387478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889552515840).

5314387478400 is an abundant number, since it is smaller than the sum of its proper divisors (20464717553280).

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

5314387478400 is a wasteful number, since it uses less digits than its factorization.

5314387478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 5314387478400 in words is "five trillion, three hundred fourteen billion, three hundred eighty-seven million, four hundred seventy-eight thousand, four hundred".