1430027440128 has 1872 divisors, whose sum is σ = 5635363440960. Its totient is φ = 355833741312.

The previous prime is 1430027440103. The next prime is 1430027440133. The reversal of 1430027440128 is 8210447200341.

It is a super-3 number, since 3×1430027440128³ (a number of 37 digits) contains 333 as substring.

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 = 1430027440092 and 1430027440101.

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, 33256452075 + ... + 33256452117.

Almost surely, 2^{1430027440128} is an apocalyptic number.

1430027440128 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 1430027440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817681720480).

1430027440128 is an abundant number, since it is smaller than the sum of its proper divisors (4205336000832).

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

1430027440128 is a wasteful number, since it uses less digits than its factorization.

1430027440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1430027440128 in words is "one trillion, four hundred thirty billion, twenty-seven million, four hundred forty thousand, one hundred twenty-eight".