40903636896 has 144 divisors (see below), whose sum is σ = 123375856968. Its totient is φ = 12810240000.

The previous prime is 40903636859. The next prime is 40903636903. The reversal of 40903636896 is 69863630904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40386529296 + 517107600 = 200964^2 + 22740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40903636896² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935546 + ... + 2949446.

Almost surely, 2^40903636896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40903636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61687928484).

40903636896 is an abundant number, since it is smaller than the sum of its proper divisors (82472220072).

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

40903636896 is a wasteful number, since it uses less digits than its factorization.

40903636896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 40903636896 in words is "forty billion, nine hundred three million, six hundred thirty-six thousand, eight hundred ninety-six".