4251269468160 has 1872 divisors, whose sum is σ = 18351501704640. Its totient is φ = 899882680320.

The previous prime is 4251269468113. The next prime is 4251269468189. The reversal of 4251269468160 is 618649621524.

It is a happy number.

4251269468160 is a `hidden beast` number, since 4 + 2 + 5 + 12 + 6 + 9 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a junction number, because it is equal to n+sod(n) for n = 4251269468097 and 4251269468106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6510366394 + ... + 6510367046.

It is an arithmetic number, because the mean of its divisors is an integer number (9803152620).

Almost surely, 2^{4251269468160} is an apocalyptic number.

4251269468160 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 4251269468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175750852320).

4251269468160 is an abundant number, since it is smaller than the sum of its proper divisors (14100232236480).

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

4251269468160 is a wasteful number, since it uses less digits than its factorization.

4251269468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4251269468160 in words is "four trillion, two hundred fifty-one billion, two hundred sixty-nine million, four hundred sixty-eight thousand, one hundred sixty".