40334112000 has 2016 divisors, whose sum is σ = 195170277120. Its totient is φ = 8062156800.

The previous prime is 40334111977. The next prime is 40334112023. The reversal of 40334112000 is 21143304.

It is an interprime number because it is at equal distance from previous prime (40334111977) and next prime (40334112023).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2122847991 + ... + 2122848009.

Almost surely, 2^40334112000 is an apocalyptic number.

40334112000 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 40334112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97585138560).

40334112000 is an abundant number, since it is smaller than the sum of its proper divisors (154836165120).

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

40334112000 is an equidigital number, since it uses as much as digits as its factorization.

40334112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40334112000 its reverse (21143304), we get a palindrome (40355255304).

The spelling of 40334112000 in words is "forty billion, three hundred thirty-four million, one hundred twelve thousand".