5191430400 has 432 divisors, whose sum is σ = 20509659520. Its totient is φ = 1277337600.

The previous prime is 5191430393. The next prime is 5191430417. The reversal of 5191430400 is 40341915.

5191430400 is a `hidden beast` number, since 5 + 191 + 430 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2245245 + ... + 2247555.

Almost surely, 2^5191430400 is an apocalyptic number.

5191430400 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 5191430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10254829760).

5191430400 is an abundant number, since it is smaller than the sum of its proper divisors (15318229120).

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

5191430400 is a wasteful number, since it uses less digits than its factorization.

5191430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5191430400 is about 72051.5815232393. The cubic root of 5191430400 is about 1731.5259793673.

The spelling of 5191430400 in words is "five billion, one hundred ninety-one million, four hundred thirty thousand, four hundred".