4825918440 has 320 divisors, whose sum is σ = 18619286400. Its totient is φ = 1098220032.

The previous prime is 4825918417. The next prime is 4825918457. The reversal of 4825918440 is 448195284.

4825918440 is a `hidden beast` number, since 482 + 5 + 91 + 84 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8822247 + ... + 8822793.

It is an arithmetic number, because the mean of its divisors is an integer number (58185270).

Almost surely, 2^4825918440 is an apocalyptic number.

4825918440 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 4825918440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309643200).

4825918440 is an abundant number, since it is smaller than the sum of its proper divisors (13793367960).

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

4825918440 is a wasteful number, since it uses less digits than its factorization.

4825918440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4825918440 is about 69468.8307084551. The cubic root of 4825918440 is about 1689.8960570036.

The spelling of 4825918440 in words is "four billion, eight hundred twenty-five million, nine hundred eighteen thousand, four hundred forty".