5342000400 has 360 divisors, whose sum is σ = 20338204224. Its totient is φ = 1287705600.

The previous prime is 5342000369. The next prime is 5342000407. The reversal of 5342000400 is 40002435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×5342000400³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5342000407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10968957 + ... + 10969443.

Almost surely, 2^5342000400 is an apocalyptic number.

5342000400 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 5342000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169102112).

5342000400 is an abundant number, since it is smaller than the sum of its proper divisors (14996203824).

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

5342000400 is a wasteful number, since it uses less digits than its factorization.

5342000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

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

The square root of 5342000400 is about 73088.9895948767. The cubic root of 5342000400 is about 1748.1068397816.

Adding to 5342000400 its reverse (40002435), we get a palindrome (5382002835).

The spelling of 5342000400 in words is "five billion, three hundred forty-two million, four hundred", and thus it is an aban number.