40657624033 has 12 divisors (see below), whose sum is σ = 44461628028. Its totient is φ = 37158513600.

The previous prime is 40657624019. The next prime is 40657624037. The reversal of 40657624033 is 33042675604.

It can be written as a sum of positive squares in 6 ways, for example, as 34012224 + 40623611809 = 5832^2 + 201553^2 .

It is not a de Polignac number, because 40657624033 - 2¹³ = 40657615841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40657624037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173910 + ... + 1208047.

It is an arithmetic number, because the mean of its divisors is an integer number (3705135669).

Almost surely, 2^40657624033 is an apocalyptic number.

It is an amenable number.

40657624033 is a deficient number, since it is larger than the sum of its proper divisors (3804003995).

40657624033 is a wasteful number, since it uses less digits than its factorization.

40657624033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382084 (or 2382071 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 40657624033 in words is "forty billion, six hundred fifty-seven million, six hundred twenty-four thousand, thirty-three".