5171342400 has 672 divisors, whose sum is σ = 22047200000. Its totient is φ = 1178634240.

The previous prime is 5171342369. The next prime is 5171342413. The reversal of 5171342400 is 42431715.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14817426 + ... + 14817774.

Almost surely, 2^5171342400 is an apocalyptic number.

5171342400 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 5171342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023600000).

5171342400 is an abundant number, since it is smaller than the sum of its proper divisors (16875857600).

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

5171342400 is a wasteful number, since it uses less digits than its factorization.

5171342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5171342400 is about 71912.0462787703. The cubic root of 5171342400 is about 1729.2897392894.

The spelling of 5171342400 in words is "five billion, one hundred seventy-one million, three hundred forty-two thousand, four hundred".