4251348127800 has 288 divisors, whose sum is σ = 14392755702000. Its totient is φ = 1124568115200.

The previous prime is 4251348127759. The next prime is 4251348127847. The reversal of 4251348127800 is 87218431524.

4251348127800 is a `hidden beast` number, since 4 + 2 + 513 + 4 + 8 + 127 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131763670 + ... + 131795930.

Almost surely, 2^{4251348127800} is an apocalyptic number.

4251348127800 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 4251348127800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196377851000).

4251348127800 is an abundant number, since it is smaller than the sum of its proper divisors (10141407574200).

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

4251348127800 is a wasteful number, since it uses less digits than its factorization.

4251348127800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32871 (or 32859 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4251348127800 in words is "four trillion, two hundred fifty-one billion, three hundred forty-eight million, one hundred twenty-seven thousand, eight hundred".