5414240000 has 360 divisors, whose sum is σ = 15420876240. Its totient is φ = 1880064000.

The previous prime is 5414239967. The next prime is 5414240003. The reversal of 5414240000 is 424145.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414240003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39519932 + ... + 39520068.

Almost surely, 2^5414240000 is an apocalyptic number.

5414240000 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 5414240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710438120).

5414240000 is an abundant number, since it is smaller than the sum of its proper divisors (10006636240).

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

5414240000 is a wasteful number, since it uses less digits than its factorization.

5414240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5414240000 is about 73581.5194189411. The cubic root of 5414240000 is about 1755.9514379570.

Adding to 5414240000 its reverse (424145), we get a palindrome (5414664145).

The spelling of 5414240000 in words is "five billion, four hundred fourteen million, two hundred forty thousand".