36105146224440 has 256 divisors, whose sum is σ = 116310785310720. Its totient is φ = 8944673886720.

The previous prime is 36105146224387. The next prime is 36105146224517. The reversal of 36105146224440 is 4442264150163.

It is a junction number, because it is equal to n+sod(n) for n = 36105146224392 and 36105146224401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15930987 + ... + 18055653.

It is an arithmetic number, because the mean of its divisors is an integer number (454339005120).

Almost surely, 2^{36105146224440} is an apocalyptic number.

36105146224440 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 36105146224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58155392655360).

36105146224440 is an abundant number, since it is smaller than the sum of its proper divisors (80205639086280).

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

36105146224440 is a wasteful number, since it uses less digits than its factorization.

36105146224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124882 (or 2124878 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 36105146224440 in words is "thirty-six trillion, one hundred five billion, one hundred forty-six million, two hundred twenty-four thousand, four hundred forty".