40368222720 has 1200 divisors, whose sum is σ = 175261874040. Its totient is φ = 8843821056.

The previous prime is 40368222679. The next prime is 40368222721. The reversal of 40368222720 is 2722286304.

It is a happy number.

40368222720 is a `hidden beast` number, since 4 + 0 + 368 + 22 + 272 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34026967296 + 6341255424 = 184464^2 + 79632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40368222721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294658492 + ... + 294658628.

Almost surely, 2^40368222720 is an apocalyptic number.

40368222720 is a gapful number since it is divisible by the number (40) 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 40368222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87630937020).

40368222720 is an abundant number, since it is smaller than the sum of its proper divisors (134893651320).

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

40368222720 is a wasteful number, since it uses less digits than its factorization.

40368222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40368222720 in words is "forty billion, three hundred sixty-eight million, two hundred twenty-two thousand, seven hundred twenty".