1268211170430 has 448 divisors, whose sum is σ = 3609313344000. Its totient is φ = 320265259776.

The previous prime is 1268211170389. The next prime is 1268211170449. The reversal of 1268211170430 is 340711128621.

1268211170430 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 211 + 1 + 7 + 0 + 430 = 666.

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 223 ways as a sum of consecutive naturals, for example, 3026756761 + ... + 3026757179.

It is an arithmetic number, because the mean of its divisors is an integer number (8056503000).

Almost surely, 2^{1268211170430} is an apocalyptic number.

1268211170430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268211170430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804656672000).

1268211170430 is an abundant number, since it is smaller than the sum of its proper divisors (2341102173570).

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

1268211170430 is a wasteful number, since it uses less digits than its factorization.

1268211170430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1268211170430 in words is "one trillion, two hundred sixty-eight billion, two hundred eleven million, one hundred seventy thousand, four hundred thirty".