5414325120 has 640 divisors, whose sum is σ = 21326976000. Its totient is φ = 1302884352.

The previous prime is 5414325109. The next prime is 5414325127. The reversal of 5414325120 is 215234145.

5414325120 is a `hidden beast` number, since 5 + 4 + 143 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414325127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22653961 + ... + 22654199.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^5414325120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663488000).

5414325120 is an abundant number, since it is smaller than the sum of its proper divisors (15912650880).

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

5414325120 is a wasteful number, since it uses less digits than its factorization.

5414325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5414325120 is about 73582.0978227721. The cubic root of 5414325120 is about 1755.9606399751.

Adding to 5414325120 its reverse (215234145), we get a palindrome (5629559265).

The spelling of 5414325120 in words is "five billion, four hundred fourteen million, three hundred twenty-five thousand, one hundred twenty".