5432918400 has 768 divisors, whose sum is σ = 24506764800. Its totient is φ = 1144627200.

The previous prime is 5432918399. The next prime is 5432918419. The reversal of 5432918400 is 48192345.

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 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, 7862055 + ... + 7862745.

It is an arithmetic number, because the mean of its divisors is an integer number (31909850).

Almost surely, 2^5432918400 is an apocalyptic number.

5432918400 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 5432918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253382400).

5432918400 is an abundant number, since it is smaller than the sum of its proper divisors (19073846400).

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

5432918400 is a wasteful number, since it uses less digits than its factorization.

5432918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5432918400 is about 73708.3333144903. Note that the first 4 decimals coincide. The cubic root of 5432918400 is about 1757.9683857843.

The spelling of 5432918400 in words is "five billion, four hundred thirty-two million, nine hundred eighteen thousand, four hundred".