40806136320 has 640 divisors, whose sum is σ = 146623758336. Its totient is φ = 9628286976.

The previous prime is 40806136271. The next prime is 40806136333. The reversal of 40806136320 is 2363160804.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×40806136320² (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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321308097 + ... + 321308223.

Almost surely, 2^40806136320 is an apocalyptic number.

40806136320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40806136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73311879168).

40806136320 is an abundant number, since it is smaller than the sum of its proper divisors (105817622016).

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

40806136320 is a wasteful number, since it uses less digits than its factorization.

40806136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 40806136320 in words is "forty billion, eight hundred six million, one hundred thirty-six thousand, three hundred twenty".