4956438240 has 288 divisors, whose sum is σ = 18300836736. Its totient is φ = 1214300160.

The previous prime is 4956438233. The next prime is 4956438241. The reversal of 4956438240 is 428346594.

4956438240 is a `hidden beast` number, since 4 + 9 + 564 + 3 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956438241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5072632 + ... + 5073608.

It is an arithmetic number, because the mean of its divisors is an integer number (63544572).

Almost surely, 2^4956438240 is an apocalyptic number.

4956438240 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 4956438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150418368).

4956438240 is an abundant number, since it is smaller than the sum of its proper divisors (13344398496).

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

4956438240 is a wasteful number, since it uses less digits than its factorization.

4956438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4956438240 is about 70401.9761086292. The cubic root of 4956438240 is about 1704.9954839163.

The spelling of 4956438240 in words is "four billion, nine hundred fifty-six million, four hundred thirty-eight thousand, two hundred forty".