269116374240 has 768 divisors, whose sum is σ = 1123968061440. Its totient is φ = 58853744640.

The previous prime is 269116374193. The next prime is 269116374251. The reversal of 269116374240 is 42473611962.

269116374240 is a `hidden beast` number, since 2 + 6 + 9 + 1 + 1 + 637 + 4 + 2 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 68249709 + ... + 68253651.

It is an arithmetic number, because the mean of its divisors is an integer number (1463500080).

Almost surely, 2^269116374240 is an apocalyptic number.

269116374240 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 269116374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561984030720).

269116374240 is an abundant number, since it is smaller than the sum of its proper divisors (854851687200).

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

269116374240 is a wasteful number, since it uses less digits than its factorization.

269116374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 269116374240 in words is "two hundred sixty-nine billion, one hundred sixteen million, three hundred seventy-four thousand, two hundred forty".