40320303101000 has 128 divisors (see below), whose sum is σ = 101613808164960. Its totient is φ = 14886523008000.

The previous prime is 40320303100963. The next prime is 40320303101009. The reversal of 40320303101000 is 10130302304.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 650284185604 + 39670018915396 = 806402^2 + 6298414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40320303101000.

It is not an unprimeable number, because it can be changed into a prime (40320303101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216499922 + ... + 216686078.

Almost surely, 2^{40320303101000} is an apocalyptic number.

40320303101000 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 40320303101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50806904082480).

40320303101000 is an abundant number, since it is smaller than the sum of its proper divisors (61293505063960).

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

40320303101000 is a wasteful number, since it uses less digits than its factorization.

40320303101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202852 (or 202838 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 40320303101000 its reverse (10130302304), we get a palindrome (40330433403304).

The spelling of 40320303101000 in words is "forty trillion, three hundred twenty billion, three hundred three million, one hundred one thousand".