1450405168128 has 1584 divisors, whose sum is σ = 5450614041600. Its totient is φ = 370660147200.

The previous prime is 1450405168117. The next prime is 1450405168151. The reversal of 1450405168128 is 8218615040541.

1450405168128 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 4 + 0 + 516 + 8 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35375735788 + ... + 35375735828.

Almost surely, 2^{1450405168128} is an apocalyptic number.

1450405168128 is a gapful number since it is divisible by the number (18) 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 1450405168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725307020800).

1450405168128 is an abundant number, since it is smaller than the sum of its proper divisors (4000208873472).

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

1450405168128 is a wasteful number, since it uses less digits than its factorization.

1450405168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1450405168128 in words is "one trillion, four hundred fifty billion, four hundred five million, one hundred sixty-eight thousand, one hundred twenty-eight".