5429542400 has 120 divisors (see below), whose sum is σ = 13916932920. Its totient is φ = 2096783360.

The previous prime is 5429542397. The next prime is 5429542421. The reversal of 5429542400 is 42459245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363887 + ... + 378513.

It is an arithmetic number, because the mean of its divisors is an integer number (115974441).

Almost surely, 2^5429542400 is an apocalyptic number.

5429542400 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 5429542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958466460).

5429542400 is an abundant number, since it is smaller than the sum of its proper divisors (8487390520).

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

5429542400 is a wasteful number, since it uses less digits than its factorization.

5429542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14684 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5429542400 is about 73685.4286816600. The cubic root of 5429542400 is about 1757.6041781542.

The spelling of 5429542400 in words is "five billion, four hundred twenty-nine million, five hundred forty-two thousand, four hundred".