5342400000 has 720 divisors, whose sum is σ = 22440626208. Its totient is φ = 1198080000.

The previous prime is 5342399939. The next prime is 5342400013. The reversal of 5342400000 is 42435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 100799974 + ... + 100800026.

Almost surely, 2^5342400000 is an apocalyptic number.

5342400000 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 5342400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220313104).

5342400000 is an abundant number, since it is smaller than the sum of its proper divisors (17098226208).

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

5342400000 is an frugal number, since it uses more digits than its factorization.

5342400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5342400000 is about 73091.7231976371. The cubic root of 5342400000 is about 1748.1504268291.

Adding to 5342400000 its reverse (42435), we get a palindrome (5342442435).

The spelling of 5342400000 in words is "five billion, three hundred forty-two million, four hundred thousand".