4275089280 has 1344 divisors, whose sum is σ = 20589234480. Its totient is φ = 836075520.

The previous prime is 4275089257. The next prime is 4275089303. The reversal of 4275089280 is 829805724.

It is an interprime number because it is at equal distance from previous prime (4275089257) and next prime (4275089303).

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 251475832 + ... + 251475848.

It is a vampire number, since it can be written as 52920 ⋅ 80784 (with its own digits).

Almost surely, 2^4275089280 is an apocalyptic number.

4275089280 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 4275089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10294617240).

4275089280 is an abundant number, since it is smaller than the sum of its proper divisors (16314145200).

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

4275089280 is a wasteful number, since it uses less digits than its factorization.

4275089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4275089280 is about 65384.1668907695. The cubic root of 4275089280 is about 1622.9870813955.

The spelling of 4275089280 in words is "four billion, two hundred seventy-five million, eighty-nine thousand, two hundred eighty".