430502125440 has 256 divisors, whose sum is σ = 1407149029440. Its totient is φ = 111884697600.

The previous prime is 430502125421. The next prime is 430502125451. The reversal of 430502125440 is 44521205034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 430502125398 and 430502125407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97374430 + ... + 97378850.

Almost surely, 2^430502125440 is an apocalyptic number.

430502125440 is a gapful number since it is divisible by the number (40) 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 430502125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703574514720).

430502125440 is an abundant number, since it is smaller than the sum of its proper divisors (976646904000).

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

430502125440 is a wasteful number, since it uses less digits than its factorization.

430502125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 430502125440 in words is "four hundred thirty billion, five hundred two million, one hundred twenty-five thousand, four hundred forty".