40361860224 has 768 divisors, whose sum is σ = 151509657600. Its totient is φ = 10340352000.

The previous prime is 40361860223. The next prime is 40361860237. The reversal of 40361860224 is 42206816304.

40361860224 is a `hidden beast` number, since 4 + 0 + 36 + 18 + 602 + 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 (40361860223) 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, 160804099 + ... + 160804349.

It is an arithmetic number, because the mean of its divisors is an integer number (197278200).

Almost surely, 2^40361860224 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 40361860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75754828800).

40361860224 is an abundant number, since it is smaller than the sum of its proper divisors (111147797376).

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

40361860224 is a wasteful number, since it uses less digits than its factorization.

40361860224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40361860224 in words is "forty billion, three hundred sixty-one million, eight hundred sixty thousand, two hundred twenty-four".