450044130071142 has 128 divisors (see below), whose sum is σ = 1038923407526400. Its totient is φ = 144298284375168.

The previous prime is 450044130071101. The next prime is 450044130071183. The reversal of 450044130071142 is 241170031440054.

450044130071142 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 441 + 3 + 0 + 0 + 71 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (450044130071101) and next prime (450044130071183).

It is a super-2 number, since 2×450044130071142² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450044130071097 and 450044130071106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552970084 + ... + 553783352.

It is an arithmetic number, because the mean of its divisors is an integer number (8116589121300).

Almost surely, 2^{450044130071142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450044130071142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519461703763200).

450044130071142 is an abundant number, since it is smaller than the sum of its proper divisors (588879277455258).

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

450044130071142 is a wasteful number, since it uses less digits than its factorization.

450044130071142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816947 (or 816941 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 450044130071142 in words is "four hundred fifty trillion, forty-four billion, one hundred thirty million, seventy-one thousand, one hundred forty-two".