4118551920 has 800 divisors, whose sum is σ = 17824752000. Its totient is φ = 877879296.

The previous prime is 4118551897. The next prime is 4118551939. The reversal of 4118551920 is 291558114.

4118551920 is a `hidden beast` number, since 4 + 1 + 18 + 551 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37784826 + ... + 37784934.

It is an arithmetic number, because the mean of its divisors is an integer number (22280940).

Almost surely, 2^4118551920 is an apocalyptic number.

4118551920 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 4118551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912376000).

4118551920 is an abundant number, since it is smaller than the sum of its proper divisors (13706200080).

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

4118551920 is a wasteful number, since it uses less digits than its factorization.

4118551920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 4118551920 is about 64175.9450261545. The cubic root of 4118551920 is about 1602.9310751369.

The spelling of 4118551920 in words is "four billion, one hundred eighteen million, five hundred fifty-one thousand, nine hundred twenty".