4251128887296 has 192 divisors, whose sum is σ = 13140381945600. Its totient is φ = 1355431993344.

The previous prime is 4251128887283. The next prime is 4251128887309. The reversal of 4251128887296 is 6927888211524.

4251128887296 is a `hidden beast` number, since 4 + 2 + 511 + 28 + 8 + 8 + 7 + 2 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (4251128887283) and next prime (4251128887309).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399486 + ... + 2943101.

It is an arithmetic number, because the mean of its divisors is an integer number (68439489300).

Almost surely, 2^{4251128887296} is an apocalyptic number.

4251128887296 is a gapful number since it is divisible by the number (46) 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 4251128887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570190972800).

4251128887296 is an abundant number, since it is smaller than the sum of its proper divisors (8889253058304).

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

4251128887296 is a wasteful number, since it uses less digits than its factorization.

4251128887296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342641 (or 3342615 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 4251128887296 in words is "four trillion, two hundred fifty-one billion, one hundred twenty-eight million, eight hundred eighty-seven thousand, two hundred ninety-six".