40323202144100 has 72 divisors (see below), whose sum is σ = 93118784469480. Its totient is φ = 15103441131520.

The previous prime is 40323202144081. The next prime is 40323202144111. The reversal of 40323202144100 is 144120232304.

40323202144100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 771379271524 + 39551822872576 = 878282^2 + 6289024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40323202144100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59866955 + ... + 60536754.

It is an arithmetic number, because the mean of its divisors is an integer number (1293316450965).

Almost surely, 2^{40323202144100} is an apocalyptic number.

It is an amenable number.

40323202144100 is an abundant number, since it is smaller than the sum of its proper divisors (52795582325380).

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

40323202144100 is a wasteful number, since it uses less digits than its factorization.

40323202144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120403937 (or 120403930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 40323202144100 its reverse (144120232304), we get a palindrome (40467322376404).

The spelling of 40323202144100 in words is "forty trillion, three hundred twenty-three billion, two hundred two million, one hundred forty-four thousand, one hundred".