40400122120241 has 32 divisors (see below), whose sum is σ = 44742361093920. Its totient is φ = 36241440307200.

The previous prime is 40400122120187. The next prime is 40400122120289. The reversal of 40400122120241 is 14202122100404.

It can be written as a sum of positive squares in 16 ways, for example, as 11618281273600 + 28781840846641 = 3408560^2 + 5364871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40400122120241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40400122120291) 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, 334297415 + ... + 334418243.

It is an arithmetic number, because the mean of its divisors is an integer number (1398198784185).

Almost surely, 2^{40400122120241} is an apocalyptic number.

40400122120241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40400122120241 is a deficient number, since it is larger than the sum of its proper divisors (4342238973679).

40400122120241 is a wasteful number, since it uses less digits than its factorization.

40400122120241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123317.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 40400122120241 its reverse (14202122100404), we get a palindrome (54602244220645).

The spelling of 40400122120241 in words is "forty trillion, four hundred billion, one hundred twenty-two million, one hundred twenty thousand, two hundred forty-one".