4255271298432 has 1152 divisors, whose sum is σ = 16188140666880. Its totient is φ = 1048183234560.

The previous prime is 4255271298407. The next prime is 4255271298463. The reversal of 4255271298432 is 2348921725524.

It is a happy number.

4255271298432 is a `hidden beast` number, since 4 + 2 + 5 + 52 + 71 + 2 + 98 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2850147478 + ... + 2850148970.

It is an arithmetic number, because the mean of its divisors is an integer number (14052205440).

Almost surely, 2^{4255271298432} is an apocalyptic number.

4255271298432 is a gapful number since it is divisible by the number (42) 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 4255271298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094070333440).

4255271298432 is an abundant number, since it is smaller than the sum of its proper divisors (11932869368448).

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

4255271298432 is a wasteful number, since it uses less digits than its factorization.

4255271298432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1666 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 4255271298432 in words is "four trillion, two hundred fifty-five billion, two hundred seventy-one million, two hundred ninety-eight thousand, four hundred thirty-two".