1430446420704 has 480 divisors, whose sum is σ = 4477834738944. Its totient is φ = 399719577600.

The previous prime is 1430446420691. The next prime is 1430446420709. The reversal of 1430446420704 is 4070246440341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430446420709) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2540757127 + ... + 2540757689.

Almost surely, 2^{1430446420704} is an apocalyptic number.

1430446420704 is a gapful number since it is divisible by the number (14) 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 1430446420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238917369472).

1430446420704 is an abundant number, since it is smaller than the sum of its proper divisors (3047388318240).

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

1430446420704 is an equidigital number, since it uses as much as digits as its factorization.

1430446420704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 1430446420704 in words is "one trillion, four hundred thirty billion, four hundred forty-six million, four hundred twenty thousand, seven hundred four".