1268418191040 has 4480 divisors, whose sum is σ = 6661911674880. Its totient is φ = 220365619200.

The previous prime is 1268418191017. The next prime is 1268418191087. The reversal of 1268418191040 is 401918148621.

1268418191040 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 418 + 191 + 0 + 40 = 666.

It is a super-2 number, since 2×1268418191040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 15282146839 + ... + 15282146921.

It is an arithmetic number, because the mean of its divisors is an integer number (1487033856).

Almost surely, 2^{1268418191040} is an apocalyptic number.

1268418191040 is a gapful number since it is divisible by the number (10) 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 1268418191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330955837440).

1268418191040 is an abundant number, since it is smaller than the sum of its proper divisors (5393493483840).

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

1268418191040 is a wasteful number, since it uses less digits than its factorization.

1268418191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1268418191040 in words is "one trillion, two hundred sixty-eight billion, four hundred eighteen million, one hundred ninety-one thousand, forty".