4279625280 has 560 divisors, whose sum is σ = 17643774720. Its totient is φ = 964472832.

The previous prime is 4279625263. The next prime is 4279625309. The reversal of 4279625280 is 825269724.

It is a tau number, because it is divible by the number of its divisors (560).

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

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 79 ways as a sum of consecutive naturals, for example, 18688206 + ... + 18688434.

Almost surely, 2^4279625280 is an apocalyptic number.

4279625280 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 4279625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821887360).

4279625280 is an abundant number, since it is smaller than the sum of its proper divisors (13364149440).

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

4279625280 is a wasteful number, since it uses less digits than its factorization.

4279625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4279625280 is about 65418.8449913326. The cubic root of 4279625280 is about 1623.5608914167.

It can be divided in two parts, 4 and 279625280, that added together give a square (279625284 = 16722²).

The spelling of 4279625280 in words is "four billion, two hundred seventy-nine million, six hundred twenty-five thousand, two hundred eighty".