5429514240 has 312 divisors, whose sum is σ = 19534945248. Its totient is φ = 1446543360.

The previous prime is 5429514227. The next prime is 5429514253. The reversal of 5429514240 is 424159245.

It is a happy number.

5429514240 is a `hidden beast` number, since 542 + 95 + 1 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5429514227) and next prime (5429514253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5429514195 and 5429514204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4976095 + ... + 4977185.

It is an arithmetic number, because the mean of its divisors is an integer number (62612004).

Almost surely, 2^5429514240 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 5429514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767472624).

5429514240 is an abundant number, since it is smaller than the sum of its proper divisors (14105431008).

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

5429514240 is an equidigital number, since it uses as much as digits as its factorization.

5429514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5429514240 is about 73685.2375988569. The cubic root of 5429514240 is about 1757.6011395789.

The spelling of 5429514240 in words is "five billion, four hundred twenty-nine million, five hundred fourteen thousand, two hundred forty".