4205135768436 has 144 divisors (see below), whose sum is σ = 11133007441920. Its totient is φ = 1335792152640.

The previous prime is 4205135768429. The next prime is 4205135768441. The reversal of 4205135768436 is 6348675315024.

4205135768436 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 135 + 76 + 8 + 436 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942219541 + ... + 942224003.

It is an arithmetic number, because the mean of its divisors is an integer number (77312551680).

Almost surely, 2^{4205135768436} is an apocalyptic number.

4205135768436 is a gapful number since it is divisible by the number (46) 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 4205135768436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566503720960).

4205135768436 is an abundant number, since it is smaller than the sum of its proper divisors (6927871673484).

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

4205135768436 is a wasteful number, since it uses less digits than its factorization.

4205135768436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4205135768436 in words is "four trillion, two hundred five billion, one hundred thirty-five million, seven hundred sixty-eight thousand, four hundred thirty-six".