4145895360 has 448 divisors, whose sum is σ = 15777423360. Its totient is φ = 1021870080.

The previous prime is 4145895331. The next prime is 4145895379. The reversal of 4145895360 is 635985414.

4145895360 is a `hidden beast` number, since 4 + 1 + 4 + 589 + 5 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6159984 + ... + 6160656.

Almost surely, 2^4145895360 is an apocalyptic number.

4145895360 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 4145895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888711680).

4145895360 is an abundant number, since it is smaller than the sum of its proper divisors (11631528000).

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

4145895360 is a wasteful number, since it uses less digits than its factorization.

4145895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4145895360 is about 64388.6275672964. The cubic root of 4145895360 is about 1606.4705885686.

The spelling of 4145895360 in words is "four billion, one hundred forty-five million, eight hundred ninety-five thousand, three hundred sixty".