430198663440 has 960 divisors, whose sum is σ = 1765518999552. Its totient is φ = 85755801600.

The previous prime is 430198663439. The next prime is 430198663451. The reversal of 430198663440 is 44366891034.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 430198663440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203787985 + ... + 203790095.

Almost surely, 2^430198663440 is an apocalyptic number.

430198663440 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 430198663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882759499776).

430198663440 is an abundant number, since it is smaller than the sum of its proper divisors (1335320336112).

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

430198663440 is a wasteful number, since it uses less digits than its factorization.

430198663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 430198663440 in words is "four hundred thirty billion, one hundred ninety-eight million, six hundred sixty-three thousand, four hundred forty".