40029605476 has 81 divisors (see below), whose sum is σ = 84385355481. Its totient is φ = 16566127200.

The previous prime is 40029605443. The next prime is 40029605477. The reversal of 40029605476 is 67450692004.

It is a happy number.

The square root of 40029605476 is 200074.

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

40029605476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12830999076 + 27198606400 = 113274^2 + 164920^2 .

It is not an unprimeable number, because it can be changed into a prime (40029605477) 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, 86831886 + ... + 86832346.

Almost surely, 2^40029605476 is an apocalyptic number.

40029605476 is the 200074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40029605476

40029605476 is an abundant number, since it is smaller than the sum of its proper divisors (44355750005).

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

40029605476 is an equidigital number, since it uses as much as digits as its factorization.

40029605476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 40029605476 in words is "forty billion, twenty-nine million, six hundred five thousand, four hundred seventy-six".