400414120124233 has 12 divisors (see below), whose sum is σ = 405021399155100. Its totient is φ = 395856981467136.

The previous prime is 400414120124219. The next prime is 400414120124273. The reversal of 400414120124233 is 332421021414004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2993827351824 + 397420292772409 = 1730268^2 + 19935403^2 .

It is a de Polignac number, because none of the positive numbers 2^k-400414120124233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400414120124195 and 400414120124204.

It is not an unprimeable number, because it can be changed into a prime (400414120124273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32195560 + ... + 42864697.

It is an arithmetic number, because the mean of its divisors is an integer number (33751783262925).

Almost surely, 2^{400414120124233} is an apocalyptic number.

It is an amenable number.

400414120124233 is a deficient number, since it is larger than the sum of its proper divisors (4607279030867).

400414120124233 is an equidigital number, since it uses as much as digits as its factorization.

400414120124233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75060924 (or 75060815 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 400414120124233 its reverse (332421021414004), we get a palindrome (732835141538237).

The spelling of 400414120124233 in words is "four hundred trillion, four hundred fourteen billion, one hundred twenty million, one hundred twenty-four thousand, two hundred thirty-three".