40241000971 has 16 divisors (see below), whose sum is σ = 40954636800. Its totient is φ = 39533327008.

The previous prime is 40241000959. The next prime is 40241000983. The reversal of 40241000971 is 17900014204.

40241000971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40241000971 is a nontrivial binomial coefficient, being equal to C(283694, 2).

It is an interprime number because it is at equal distance from previous prime (40241000959) and next prime (40241000983).

It is a cyclic number.

It is not a de Polignac number, because 40241000971 - 2⁵ = 40241000939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40241000911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23545665 + ... + 23547373.

It is an arithmetic number, because the mean of its divisors is an integer number (2559664800).

Almost surely, 2^40241000971 is an apocalyptic number.

40241000971 is the 283693-rd triangular number and also the 141847-th hexagonal number.

40241000971 is the 94565-th centered nonagonal number.

40241000971 is a deficient number, since it is larger than the sum of its proper divisors (713635829).

40241000971 is a wasteful number, since it uses less digits than its factorization.

40241000971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 40241000971 in words is "forty billion, two hundred forty-one million, nine hundred seventy-one", and thus it is an aban number.