36240605231220 has 432 divisors, whose sum is σ = 122114313620208. Its totient is φ = 8648116346880.

The previous prime is 36240605231179. The next prime is 36240605231231. The reversal of 36240605231220 is 2213250604263.

36240605231220 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 0 + 6 + 0 + 523 + 122 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9150891201936 + 27089714029284 = 3025044^2 + 5204778^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 887338000 + ... + 887378840.

It is an arithmetic number, because the mean of its divisors is an integer number (282672022269).

Almost surely, 2^{36240605231220} is an apocalyptic number.

36240605231220 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 36240605231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61057156810104).

36240605231220 is an abundant number, since it is smaller than the sum of its proper divisors (85873708388988).

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

36240605231220 is a wasteful number, since it uses less digits than its factorization.

36240605231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41220 (or 41178 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 36240605231220 its reverse (2213250604263), we get a palindrome (38453855835483).

The spelling of 36240605231220 in words is "thirty-six trillion, two hundred forty billion, six hundred five million, two hundred thirty-one thousand, two hundred twenty".