36410055120 has 160 divisors (see below), whose sum is σ = 125476790400. Its totient is φ = 9704365056.

The previous prime is 36410055083. The next prime is 36410055131. The reversal of 36410055120 is 2155001463.

36410055120 is a `hidden beast` number, since 3 + 6 + 4 + 100 + 551 + 2 + 0 = 666.

It is a super-2 number, since 2×36410055120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6397236 + ... + 6402924.

It is an arithmetic number, because the mean of its divisors is an integer number (784229940).

Almost surely, 2^36410055120 is an apocalyptic number.

36410055120 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 36410055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62738395200).

36410055120 is an abundant number, since it is smaller than the sum of its proper divisors (89066735280).

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

36410055120 is a wasteful number, since it uses less digits than its factorization.

36410055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 36410055120 its reverse (2155001463), we get a palindrome (38565056583).

The spelling of 36410055120 in words is "thirty-six billion, four hundred ten million, fifty-five thousand, one hundred twenty".