4275249232320 has 2688 divisors, whose sum is σ = 18479578650624. Its totient is φ = 928972800000.

The previous prime is 4275249232307. The next prime is 4275249232357. The reversal of 4275249232320 is 232329425724.

4275249232320 is a `hidden beast` number, since 4 + 2 + 7 + 52 + 49 + 232 + 320 = 666.

4275249232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 42329200270 + ... + 42329200370.

It is an arithmetic number, because the mean of its divisors is an integer number (6874843248).

Almost surely, 2^{4275249232320} is an apocalyptic number.

4275249232320 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 4275249232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239789325312).

4275249232320 is an abundant number, since it is smaller than the sum of its proper divisors (14204329418304).

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

4275249232320 is a wasteful number, since it uses less digits than its factorization.

4275249232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 4275249232320 in words is "four trillion, two hundred seventy-five billion, two hundred forty-nine million, two hundred thirty-two thousand, three hundred twenty".