40340132000 has 144 divisors (see below), whose sum is σ = 115298420328. Its totient is φ = 13830835200.

The previous prime is 40340131999. The next prime is 40340132023. The reversal of 40340132000 is 23104304.

It can be written as a sum of positive squares in 4 ways, for example, as 11196179344 + 29143952656 = 105812^2 + 170716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40340132000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93092 + ... + 298908.

Almost surely, 2^40340132000 is an apocalyptic number.

40340132000 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 40340132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57649210164).

40340132000 is an abundant number, since it is smaller than the sum of its proper divisors (74958288328).

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

40340132000 is a wasteful number, since it uses less digits than its factorization.

40340132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205856 (or 205831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 40340132000 its reverse (23104304), we get a palindrome (40363236304).

The spelling of 40340132000 in words is "forty billion, three hundred forty million, one hundred thirty-two thousand".