4275408680352 has 288 divisors, whose sum is σ = 13077431482752. Its totient is φ = 1320080965632.

The previous prime is 4275408680339. The next prime is 4275408680449. The reversal of 4275408680352 is 2530868045724.

4275408680352 is a `hidden beast` number, since 4 + 2 + 7 + 540 + 8 + 68 + 0 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4275408680352² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401177808 + ... + 401188464.

It is an arithmetic number, because the mean of its divisors is an integer number (45407748204).

Almost surely, 2^{4275408680352} 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 4275408680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538715741376).

4275408680352 is an abundant number, since it is smaller than the sum of its proper divisors (8802022802400).

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

4275408680352 is a wasteful number, since it uses less digits than its factorization.

4275408680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 4275408680352 in words is "four trillion, two hundred seventy-five billion, four hundred eight million, six hundred eighty thousand, three hundred fifty-two".