268119457633440 has 576 divisors, whose sum is σ = 1131894930942720. Its totient is φ = 58058947860480.

The previous prime is 268119457633427. The next prime is 268119457633453. The reversal of 268119457633440 is 44336754911862.

268119457633440 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 1 + 94 + 5 + 76 + 33 + 440 = 666.

268119457633440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268119457633427) and next prime (268119457633453).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1363671 + ... + 23196950.

It is an arithmetic number, because the mean of its divisors is an integer number (1965095366220).

It is a 1-persistent number, because it is pandigital, but 2⋅268119457633440 = 536238915266880 is not.

Almost surely, 2^{268119457633440} is an apocalyptic number.

268119457633440 is a gapful number since it is divisible by the number (20) 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 268119457633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565947465471360).

268119457633440 is an abundant number, since it is smaller than the sum of its proper divisors (863775473309280).

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

268119457633440 is a wasteful number, since it uses less digits than its factorization.

268119457633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24560690 (or 24560657 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 268119457633440 in words is "two hundred sixty-eight trillion, one hundred nineteen billion, four hundred fifty-seven million, six hundred thirty-three thousand, four hundred forty".