4118778048 has 672 divisors, whose sum is σ = 15220817920. Its totient is φ = 958003200.

The previous prime is 4118777989. The next prime is 4118778101. The reversal of 4118778048 is 8408778114.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4118777988 and 4118778006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95785515 + ... + 95785557.

Almost surely, 2^4118778048 is an apocalyptic number.

4118778048 is a gapful number since it is divisible by the number (48) 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 4118778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610408960).

4118778048 is an abundant number, since it is smaller than the sum of its proper divisors (11102039872).

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

4118778048 is a wasteful number, since it uses less digits than its factorization.

4118778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 4118778048 is about 64177.7067835865. The cubic root of 4118778048 is about 1602.9604107684.

The spelling of 4118778048 in words is "four billion, one hundred eighteen million, seven hundred seventy-eight thousand, forty-eight".