36241040430 has 192 divisors, whose sum is σ = 114665241600. Its totient is φ = 7923351744.

The previous prime is 36241040411. The next prime is 36241040431. The reversal of 36241040430 is 3404014263.

36241040430 is a `hidden beast` number, since 3 + 624 + 1 + 0 + 4 + 0 + 4 + 30 = 666.

It is a super-2 number, since 2×36241040430² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36241040394 and 36241040403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36241040431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684489 + ... + 735531.

It is an arithmetic number, because the mean of its divisors is an integer number (597214800).

Almost surely, 2^36241040430 is an apocalyptic number.

36241040430 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 36241040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57332620800).

36241040430 is an abundant number, since it is smaller than the sum of its proper divisors (78424201170).

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

36241040430 is a wasteful number, since it uses less digits than its factorization.

36241040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51100 (or 51083 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 36241040430 its reverse (3404014263), we get a palindrome (39645054693).

The spelling of 36241040430 in words is "thirty-six billion, two hundred forty-one million, forty thousand, four hundred thirty".