4918393440 has 192 divisors, whose sum is σ = 17258572800. Its totient is φ = 1308206592.

The previous prime is 4918393429. The next prime is 4918393453. The reversal of 4918393440 is 443938194.

It is a happy number.

4918393440 is a `hidden beast` number, since 49 + 1 + 83 + 93 + 440 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1998931 + ... + 2001389.

It is an arithmetic number, because the mean of its divisors is an integer number (89888400).

Almost surely, 2^4918393440 is an apocalyptic number.

4918393440 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 4918393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629286400).

4918393440 is an abundant number, since it is smaller than the sum of its proper divisors (12340179360).

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

4918393440 is a wasteful number, since it uses less digits than its factorization.

4918393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4918393440 is about 70131.2586511892. The cubic root of 4918393440 is about 1700.6218532390.

The spelling of 4918393440 in words is "four billion, nine hundred eighteen million, three hundred ninety-three thousand, four hundred forty".