5174400319200 has 432 divisors, whose sum is σ = 21017054822400. Its totient is φ = 1173405864960.

The previous prime is 5174400319163. The next prime is 5174400319267. The reversal of 5174400319200 is 29130044715.

5174400319200 is a `hidden beast` number, since 5 + 1 + 7 + 440 + 0 + 3 + 1 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5996601 + ... + 6804999.

Almost surely, 2^{5174400319200} is an apocalyptic number.

5174400319200 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 5174400319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508527411200).

5174400319200 is an abundant number, since it is smaller than the sum of its proper divisors (15842654503200).

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

5174400319200 is a wasteful number, since it uses less digits than its factorization.

5174400319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808559 (or 808543 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5174400319200 in words is "five trillion, one hundred seventy-four billion, four hundred million, three hundred nineteen thousand, two hundred".