40264047936 has 504 divisors, whose sum is σ = 146788851456. Its totient is φ = 10474168320.

The previous prime is 40264047931. The next prime is 40264047959. The reversal of 40264047936 is 63974046204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 40264047891 and 40264047900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40264047931) 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 71 ways as a sum of consecutive naturals, for example, 14872695 + ... + 14875401.

Almost surely, 2^40264047936 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 40264047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73394425728).

40264047936 is an abundant number, since it is smaller than the sum of its proper divisors (106524803520).

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

40264047936 is a wasteful number, since it uses less digits than its factorization.

40264047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40264047936 in words is "forty billion, two hundred sixty-four million, forty-seven thousand, nine hundred thirty-six".