450431141328 has 540 divisors, whose sum is σ = 1542493461600. Its totient is φ = 126873153792.

The previous prime is 450431141297. The next prime is 450431141339. The reversal of 450431141328 is 823141134054.

450431141328 is a `hidden beast` number, since 4 + 50 + 431 + 141 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450431141292 and 450431141301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2263472973 + ... + 2263473171.

Almost surely, 2^450431141328 is an apocalyptic number.

450431141328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450431141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771246730800).

450431141328 is an abundant number, since it is smaller than the sum of its proper divisors (1092062320272).

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

450431141328 is a wasteful number, since it uses less digits than its factorization.

450431141328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 450431141328 in words is "four hundred fifty billion, four hundred thirty-one million, one hundred forty-one thousand, three hundred twenty-eight".