40313114021200 has 60 divisors (see below), whose sum is σ = 96853092551100. Its totient is φ = 16125106401280.

The previous prime is 40313114021179. The next prime is 40313114021293. The reversal of 40313114021200 is 212041131304.

It can be written as a sum of positive squares in 6 ways, for example, as 7199948625984 + 33113165395216 = 2683272^2 + 5754404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54672576 + ... + 55405024.

It is an arithmetic number, because the mean of its divisors is an integer number (1614218209185).

Almost surely, 2^{40313114021200} is an apocalyptic number.

40313114021200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40313114021200 is an abundant number, since it is smaller than the sum of its proper divisors (56539978529900).

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

40313114021200 is a wasteful number, since it uses less digits than its factorization.

40313114021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870064 (or 870053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 40313114021200 its reverse (212041131304), we get a palindrome (40525155152504).

The spelling of 40313114021200 in words is "forty trillion, three hundred thirteen billion, one hundred fourteen million, twenty-one thousand, two hundred".