4251829465680 has 80 divisors (see below), whose sum is σ = 13207516254144. Its totient is φ = 1131511951360.

The previous prime is 4251829465679. The next prime is 4251829465757. The reversal of 4251829465680 is 865649281524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17922849 + ... + 18158528.

Almost surely, 2^{4251829465680} is an apocalyptic number.

4251829465680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4251829465680 is an abundant number, since it is smaller than the sum of its proper divisors (8955686788464).

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

4251829465680 is a wasteful number, since it uses less digits than its factorization.

4251829465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36081884 (or 36081878 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 4251829465680 in words is "four trillion, two hundred fifty-one billion, eight hundred twenty-nine million, four hundred sixty-five thousand, six hundred eighty".