361040464224 has 576 divisors, whose sum is σ = 1236346675200. Its totient is φ = 98651520000.

The previous prime is 361040464151. The next prime is 361040464229. The reversal of 361040464224 is 422464040163.

361040464224 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 4 + 0 + 4 + 642 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361040464229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347487897 + ... + 347488935.

It is an arithmetic number, because the mean of its divisors is an integer number (2146435200).

Almost surely, 2^361040464224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361040464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618173337600).

361040464224 is an abundant number, since it is smaller than the sum of its proper divisors (875306210976).

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

361040464224 is a wasteful number, since it uses less digits than its factorization.

361040464224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 361040464224 in words is "three hundred sixty-one billion, forty million, four hundred sixty-four thousand, two hundred twenty-four".