36404414340030 has 288 divisors, whose sum is σ = 109584446025600. Its totient is φ = 8355452434560.

The previous prime is 36404414340013. The next prime is 36404414340031. The reversal of 36404414340030 is 3004341440463.

36404414340030 is a `hidden beast` number, since 3 + 6 + 40 + 44 + 143 + 400 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36404414340031) 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, 326655177 + ... + 326766603.

It is an arithmetic number, because the mean of its divisors is an integer number (380501548700).

Almost surely, 2^{36404414340030} is an apocalyptic number.

36404414340030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36404414340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54792223012800).

36404414340030 is an abundant number, since it is smaller than the sum of its proper divisors (73180031685570).

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

36404414340030 is a wasteful number, since it uses less digits than its factorization.

36404414340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113060 (or 113046 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 36404414340030 its reverse (3004341440463), we get a palindrome (39408755780493).

The spelling of 36404414340030 in words is "thirty-six trillion, four hundred four billion, four hundred fourteen million, three hundred forty thousand, thirty".