4933434240 has 384 divisors, whose sum is σ = 20102584320. Its totient is φ = 1090990080.

The previous prime is 4933434239. The next prime is 4933434241. The reversal of 4933434240 is 424343394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4933434239) and next prime (4933434241).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4933434195 and 4933434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933434241) 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 47 ways as a sum of consecutive naturals, for example, 1247947 + ... + 1251893.

It is an arithmetic number, because the mean of its divisors is an integer number (52350480).

Almost surely, 2^4933434240 is an apocalyptic number.

4933434240 is a gapful number since it is divisible by the number (40) 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 4933434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051292160).

4933434240 is an abundant number, since it is smaller than the sum of its proper divisors (15169150080).

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

4933434240 is a wasteful number, since it uses less digits than its factorization.

4933434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4933434240 is about 70238.4100047830. The cubic root of 4933434240 is about 1702.3536303489.

The spelling of 4933434240 in words is "four billion, nine hundred thirty-three million, four hundred thirty-four thousand, two hundred forty".