40842793216 has 81 divisors (see below), whose sum is σ = 86720507461. Its totient is φ = 19194269696.

The previous prime is 40842793193. The next prime is 40842793217. The reversal of 40842793216 is 61239724804.

It is a happy number.

The square root of 40842793216 is 202096.

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

It can be written as a sum of positive squares in only one way, i.e., 31798022400 + 9044770816 = 178320^2 + 95104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40842793217) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54969741 + ... + 54970483.

Almost surely, 2^40842793216 is an apocalyptic number.

40842793216 is the 202096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40842793216

40842793216 is an abundant number, since it is smaller than the sum of its proper divisors (45877714245).

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

40842793216 is an frugal number, since it uses more digits than its factorization.

40842793216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 40842793216 in words is "forty billion, eight hundred forty-two million, seven hundred ninety-three thousand, two hundred sixteen".