4118474880 has 192 divisors, whose sum is σ = 15315856920. Its totient is φ = 1013760000.

The previous prime is 4118474873. The next prime is 4118474891. The reversal of 4118474880 is 884748114.

It is a happy number.

4118474880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1246372416 + 2872102464 = 35304^2 + 53592^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47380 + ... + 102380.

Almost surely, 2^4118474880 is an apocalyptic number.

4118474880 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 4118474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657928460).

4118474880 is an abundant number, since it is smaller than the sum of its proper divisors (11197382040).

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

4118474880 is a wasteful number, since it uses less digits than its factorization.

4118474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55039 (or 55024 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 4118474880 is about 64175.3447984504. The cubic root of 4118474880 is about 1602.9210804768.

The spelling of 4118474880 in words is "four billion, one hundred eighteen million, four hundred seventy-four thousand, eight hundred eighty".