4278205152 has 144 divisors (see below), whose sum is σ = 13132239120. Its totient is φ = 1313335296.

The previous prime is 4278205133. The next prime is 4278205157. The reversal of 4278205152 is 2515028724.

It is a happy number.

4278205152 is a `hidden beast` number, since 427 + 82 + 0 + 5 + 152 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278205157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046924 + ... + 2049012.

It is an arithmetic number, because the mean of its divisors is an integer number (91196105).

Almost surely, 2^4278205152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566119560).

4278205152 is an abundant number, since it is smaller than the sum of its proper divisors (8854033968).

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

4278205152 is a wasteful number, since it uses less digits than its factorization.

4278205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4278205152 is about 65407.9899706450. The cubic root of 4278205152 is about 1623.3812869568.

The spelling of 4278205152 in words is "four billion, two hundred seventy-eight million, two hundred five thousand, one hundred fifty-two".