1000040964949 has 8 divisors (see below), whose sum is σ = 1076984427960. Its totient is φ = 923099964096.

The previous prime is 1000040964947. The next prime is 1000040965031. The reversal of 1000040964949 is 9494690400001.

1000040964949 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 4 ways, for example, as 76808242449 + 923232722500 = 277143^2 + 960850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000040964949 - 2¹ = 1000040964947 is a prime.

It is a super-2 number, since 2×1000040964949² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000040964899 and 1000040964908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000040964947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275859 + ... + 1440895.

It is an arithmetic number, because the mean of its divisors is an integer number (134623053495).

Almost surely, 2^{1000040964949} is an apocalyptic number.

It is an amenable number.

1000040964949 is a deficient number, since it is larger than the sum of its proper divisors (76943463011).

1000040964949 is a wasteful number, since it uses less digits than its factorization.

1000040964949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231079.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 1000040964949 in words is "one trillion, forty million, nine hundred sixty-four thousand, nine hundred forty-nine".