450105742400126 has 128 divisors (see below), whose sum is σ = 759309666877440. Its totient is φ = 199017701955072.

The previous prime is 450105742400089. The next prime is 450105742400131. The reversal of 450105742400126 is 621004247501054.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5066260661 + ... + 5066349503.

It is an arithmetic number, because the mean of its divisors is an integer number (5932106772480).

Almost surely, 2^{450105742400126} is an apocalyptic number.

450105742400126 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

450105742400126 is a deficient number, since it is larger than the sum of its proper divisors (309203924477314).

450105742400126 is a wasteful number, since it uses less digits than its factorization.

450105742400126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89518.

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 450105742400126 in words is "four hundred fifty trillion, one hundred five billion, seven hundred forty-two million, four hundred thousand, one hundred twenty-six".