6414251740160 has 792 divisors, whose sum is σ = 17844223523280. Its totient is φ = 2209283112960.

The previous prime is 6414251740159. The next prime is 6414251740201. The reversal of 6414251740160 is 610471524146.

It is a super-2 number, since 2×6414251740160² (a number of 26 digits) contains 22 as substring.

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, 58846346186 + ... + 58846346294.

Almost surely, 2^{6414251740160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414251740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922111761640).

6414251740160 is an abundant number, since it is smaller than the sum of its proper divisors (11429971783120).

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

6414251740160 is a wasteful number, since it uses less digits than its factorization.

6414251740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 6414251740160 in words is "six trillion, four hundred fourteen billion, two hundred fifty-one million, seven hundred forty thousand, one hundred sixty".