40800346000 has 40 divisors (see below), whose sum is σ = 98655241464. Its totient is φ = 16320137600.

The previous prime is 40800345979. The next prime is 40800346003. The reversal of 40800346000 is 64300804.

It can be written as a sum of positive squares in 4 ways, for example, as 6369316864 + 34431029136 = 79808^2 + 185556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40800346003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10198087 + ... + 10202086.

Almost surely, 2^40800346000 is an apocalyptic number.

40800346000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40800346000 is an abundant number, since it is smaller than the sum of its proper divisors (57854895464).

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

40800346000 is a wasteful number, since it uses less digits than its factorization.

40800346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400196 (or 20400180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 40800346000 its reverse (64300804), we get a palindrome (40864646804).

The spelling of 40800346000 in words is "forty billion, eight hundred million, three hundred forty-six thousand".