269801834040 has 480 divisors, whose sum is σ = 966942353520. Its totient is φ = 67460456448.

The previous prime is 269801833999. The next prime is 269801834041. The reversal of 269801834040 is 40438108962.

It is a happy number.

269801834040 is a `hidden beast` number, since 2 + 69 + 8 + 0 + 183 + 404 + 0 = 666.

269801834040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269801834041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 437279812 + ... + 437280428.

Almost surely, 2^269801834040 is an apocalyptic number.

269801834040 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 269801834040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483471176760).

269801834040 is an abundant number, since it is smaller than the sum of its proper divisors (697140519480).

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

269801834040 is a wasteful number, since it uses less digits than its factorization.

269801834040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 269801834040 in words is "two hundred sixty-nine billion, eight hundred one million, eight hundred thirty-four thousand, forty".