40742817921 has 24 divisors (see below), whose sum is σ = 63384670440. Its totient is φ = 25069752576.

The previous prime is 40742817911. The next prime is 40742817923. The reversal of 40742817921 is 12971824704.

It can be written as a sum of positive squares in 4 ways, for example, as 778410000 + 39964407921 = 27900^2 + 199911^2 .

It is not a de Polignac number, because 40742817921 - 2¹⁷ = 40742686849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40742817923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745395 + ... + 1768583.

It is an arithmetic number, because the mean of its divisors is an integer number (2641027935).

Almost surely, 2^40742817921 is an apocalyptic number.

It is an amenable number.

40742817921 is a deficient number, since it is larger than the sum of its proper divisors (22641852519).

40742817921 is a wasteful number, since it uses less digits than its factorization.

40742817921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38225 (or 38222 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 40742817921 in words is "forty billion, seven hundred forty-two million, eight hundred seventeen thousand, nine hundred twenty-one".