4115778480 has 480 divisors, whose sum is σ = 16476445440. Its totient is φ = 944317440.

The previous prime is 4115778473. The next prime is 4115778487. The reversal of 4115778480 is 848775114.

It is an interprime number because it is at equal distance from previous prime (4115778473) and next prime (4115778487).

It is a super-2 number, since 2×4115778480² = 33879264992862220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4115778487) by changing a digit.

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, 4062454 + ... + 4063466.

It is an arithmetic number, because the mean of its divisors is an integer number (34325928).

Almost surely, 2^4115778480 is an apocalyptic number.

4115778480 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 4115778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238222720).

4115778480 is an abundant number, since it is smaller than the sum of its proper divisors (12360666960).

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

4115778480 is a wasteful number, since it uses less digits than its factorization.

4115778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 4115778480 is about 64154.3332909009. Note that the first 3 decimals coincide. The cubic root of 4115778480 is about 1602.5711888209.

The spelling of 4115778480 in words is "four billion, one hundred fifteen million, seven hundred seventy-eight thousand, four hundred eighty".