40805635296 has 192 divisors, whose sum is σ = 120243916800. Its totient is φ = 12053422080.

The previous prime is 40805635249. The next prime is 40805635331. The reversal of 40805635296 is 69253650804.

It is a super-2 number, since 2×40805635296² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861005 + ... + 1882803.

It is an arithmetic number, because the mean of its divisors is an integer number (626270400).

Almost surely, 2^40805635296 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 40805635296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121958400).

40805635296 is an abundant number, since it is smaller than the sum of its proper divisors (79438281504).

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

40805635296 is a wasteful number, since it uses less digits than its factorization.

40805635296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21897 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 40805635296 in words is "forty billion, eight hundred five million, six hundred thirty-five thousand, two hundred ninety-six".