1268004291840 has 2304 divisors, whose sum is σ = 5554049679360. Its totient is φ = 269826785280.

The previous prime is 1268004291833. The next prime is 1268004291949. The reversal of 1268004291840 is 481924008621.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12310721229 + ... + 12310721331.

It is an arithmetic number, because the mean of its divisors is an integer number (2410611840).

Almost surely, 2^{1268004291840} is an apocalyptic number.

1268004291840 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 1268004291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777024839680).

1268004291840 is an abundant number, since it is smaller than the sum of its proper divisors (4286045387520).

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

1268004291840 is a wasteful number, since it uses less digits than its factorization.

1268004291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1268004291840 in words is "one trillion, two hundred sixty-eight billion, four million, two hundred ninety-one thousand, eight hundred forty".