4055115168 has 144 divisors (see below), whose sum is σ = 12722169096. Its totient is φ = 1217249280.

The previous prime is 4055115143. The next prime is 4055115193. The reversal of 4055115168 is 8615115504.

4055115168 is a `hidden beast` number, since 40 + 551 + 1 + 5 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4055115143) and next prime (4055115193).

It can be written as a sum of positive squares in 4 ways, for example, as 980190864 + 3074924304 = 31308^2 + 55452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 140296 + ... + 166712.

Almost surely, 2^4055115168 is an apocalyptic number.

4055115168 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 4055115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361084548).

4055115168 is an abundant number, since it is smaller than the sum of its proper divisors (8667053928).

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

4055115168 is a wasteful number, since it uses less digits than its factorization.

4055115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26487 (or 26476 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 4055115168 is about 63679.7861805455. The cubic root of 4055115168 is about 1594.6586426979.

The spelling of 4055115168 in words is "four billion, fifty-five million, one hundred fifteen thousand, one hundred sixty-eight".