450123254533440 has 84 divisors (see below), whose sum is σ = 1548236444248884. Its totient is φ = 120032867874816.

The previous prime is 450123254533409. The next prime is 450123254533451. The reversal of 450123254533440 is 44335452321054.

450123254533440 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 2 + 3 + 254 + 53 + 344 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190263180262464 + 259860074270976 = 13793592^2 + 16120176^2 .

It is a super-2 number, since 2×450123254533440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78146395477 + ... + 78146401236.

Almost surely, 2^{450123254533440} is an apocalyptic number.

450123254533440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450123254533440 is an abundant number, since it is smaller than the sum of its proper divisors (1098113189715444).

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

450123254533440 is a wasteful number, since it uses less digits than its factorization.

450123254533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156292796736 (or 156292796723 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 450123254533440 in words is "four hundred fifty trillion, one hundred twenty-three billion, two hundred fifty-four million, five hundred thirty-three thousand, four hundred forty".