40623515712 has 224 divisors, whose sum is σ = 129106127360. Its totient is φ = 12451553280.

The previous prime is 40623515711. The next prime is 40623515729. The reversal of 40623515712 is 21751532604.

40623515712 is a `hidden beast` number, since 4 + 0 + 623 + 5 + 15 + 7 + 12 = 666.

It is a super-3 number, since 3×40623515712³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (40623515711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6084408 + ... + 6091080.

It is an arithmetic number, because the mean of its divisors is an integer number (576366640).

Almost surely, 2^40623515712 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 40623515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64553063680).

40623515712 is an abundant number, since it is smaller than the sum of its proper divisors (88482611648).

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

40623515712 is a wasteful number, since it uses less digits than its factorization.

40623515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 40623515712 in words is "forty billion, six hundred twenty-three million, five hundred fifteen thousand, seven hundred twelve".