40362417216 has 189 divisors, whose sum is σ = 127332448789. Its totient is φ = 12214963200.

The previous prime is 40362417211. The next prime is 40362417233. The reversal of 40362417216 is 61271426304.

The square root of 40362417216 is 200904.

It is a perfect power (a square), and thus also a powerful number.

40362417216 is a `hidden beast` number, since 4 + 0 + 3 + 624 + 1 + 7 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 40256409600 = 10296^2 + 200640^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40362417211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53038276 + ... + 53039036.

Almost surely, 2^40362417216 is an apocalyptic number.

40362417216 is the 200904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40362417216

40362417216 is an abundant number, since it is smaller than the sum of its proper divisors (86970031573).

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

40362417216 is an equidigital number, since it uses as much as digits as its factorization.

40362417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 40362417216 by its sum of digits (36), we get a square (1453047019776 = 1205424²).

40362417216 divided by its sum of digits (36) gives a square (1121178256 = 33484²).

The spelling of 40362417216 in words is "forty billion, three hundred sixty-two million, four hundred seventeen thousand, two hundred sixteen".