4145868360 has 160 divisors (see below), whose sum is σ = 13979754360. Its totient is φ = 1101993984.

The previous prime is 4145868329. The next prime is 4145868373. The reversal of 4145868360 is 638685414.

4145868360 is a `hidden beast` number, since 4 + 1 + 4 + 586 + 8 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1527090084 + 2618778276 = 39078^2 + 51174^2 .

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 39 ways as a sum of consecutive naturals, for example, 1089982 + ... + 1093778.

Almost surely, 2^4145868360 is an apocalyptic number.

4145868360 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 4145868360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989877180).

4145868360 is an abundant number, since it is smaller than the sum of its proper divisors (9833886000).

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

4145868360 is a wasteful number, since it uses less digits than its factorization.

4145868360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4145868360 is about 64388.4179026011. The cubic root of 4145868360 is about 1606.4671011997.

The spelling of 4145868360 in words is "four billion, one hundred forty-five million, eight hundred sixty-eight thousand, three hundred sixty".