5410240000 has 400 divisors, whose sum is σ = 15531840720. Its totient is φ = 1863680000.

The previous prime is 5410239943. The next prime is 5410240007. The reversal of 5410240000 is 420145.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410240007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 102079974 + ... + 102080026.

Almost surely, 2^5410240000 is an apocalyptic number.

5410240000 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 5410240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765920360).

5410240000 is an abundant number, since it is smaller than the sum of its proper divisors (10121600720).

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

5410240000 is an equidigital number, since it uses as much as digits as its factorization.

5410240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5410240000 is about 73554.3336588674. Note that the first 3 decimals coincide. The cubic root of 5410240000 is about 1755.5189034940.

Adding to 5410240000 its reverse (420145), we get a palindrome (5410660145).

The spelling of 5410240000 in words is "five billion, four hundred ten million, two hundred forty thousand".