40430647872 has 168 divisors, whose sum is σ = 117416174616. Its totient is φ = 13300137984.

The previous prime is 40430647841. The next prime is 40430647879. The reversal of 40430647872 is 27874603404.

It can be written as a sum of positive squares in 4 ways, for example, as 17102362176 + 23328285696 = 130776^2 + 152736^2 .

It is a super-3 number, since 3×40430647872³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40430647879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16726408 + ... + 16728824.

Almost surely, 2^40430647872 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 40430647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58708087308).

40430647872 is an abundant number, since it is smaller than the sum of its proper divisors (76985526744).

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

40430647872 is a wasteful number, since it uses less digits than its factorization.

40430647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40430647872 in words is "forty billion, four hundred thirty million, six hundred forty-seven thousand, eight hundred seventy-two".