268022005440 has 448 divisors, whose sum is σ = 1031299236864. Its totient is φ = 57571540992.

The previous prime is 268022005409. The next prime is 268022005483. The reversal of 268022005440 is 44500220862.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100872592 + ... + 100875248.

Almost surely, 2^268022005440 is an apocalyptic number.

268022005440 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 268022005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515649618432).

268022005440 is an abundant number, since it is smaller than the sum of its proper divisors (763277231424).

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

268022005440 is a wasteful number, since it uses less digits than its factorization.

268022005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 268022005440 in words is "two hundred sixty-eight billion, twenty-two million, five thousand, four hundred forty".