4275627840000 has 1800 divisors, whose sum is σ = 17907522046128. Its totient is φ = 973455360000.

The previous prime is 4275627839957. The next prime is 4275627840013. The reversal of 4275627840000 is 487265724.

It is a happy number.

4275627840000 is a `hidden beast` number, since 4 + 2 + 7 + 562 + 7 + 84 + 0 + 0 + 0 + 0 = 666.

4275627840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9155519767 + ... + 9155520233.

Almost surely, 2^{4275627840000} is an apocalyptic number.

4275627840000 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 4275627840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953761023064).

4275627840000 is an abundant number, since it is smaller than the sum of its proper divisors (13631894206128).

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

4275627840000 is a wasteful number, since it uses less digits than its factorization.

4275627840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4275627840000 in words is "four trillion, two hundred seventy-five billion, six hundred twenty-seven million, eight hundred forty thousand".