5214024000 has 448 divisors, whose sum is σ = 19399910400. Its totient is φ = 1370880000.

The previous prime is 5214023977. The next prime is 5214024001. The reversal of 5214024000 is 4204125.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214024001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21815881 + ... + 21816119.

Almost surely, 2^5214024000 is an apocalyptic number.

5214024000 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 5214024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9699955200).

5214024000 is an abundant number, since it is smaller than the sum of its proper divisors (14185886400).

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

5214024000 is a wasteful number, since it uses less digits than its factorization.

5214024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5214024000 is about 72208.1989804482. The cubic root of 5214024000 is about 1734.0342661539.

Adding to 5214024000 its reverse (4204125), we get a palindrome (5218228125).

The spelling of 5214024000 in words is "five billion, two hundred fourteen million, twenty-four thousand".