36040435200 has 1440 divisors, whose sum is σ = 170976199680. Its totient is φ = 7018905600.

The previous prime is 36040435169. The next prime is 36040435201. The reversal of 36040435200 is 253404063.

36040435200 is a `hidden beast` number, since 3 + 60 + 40 + 43 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36040435201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150796681 + ... + 150796919.

It is an arithmetic number, because the mean of its divisors is an integer number (118733472).

Almost surely, 2^36040435200 is an apocalyptic number.

36040435200 is a gapful number since it is divisible by the number (30) 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 36040435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85488099840).

36040435200 is an abundant number, since it is smaller than the sum of its proper divisors (134935764480).

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

36040435200 is a wasteful number, since it uses less digits than its factorization.

36040435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 36040435200 its reverse (253404063), we get a palindrome (36293839263).

The spelling of 36040435200 in words is "thirty-six billion, forty million, four hundred thirty-five thousand, two hundred".