1430427419520 has 512 divisors, whose sum is σ = 5019658076160. Its totient is φ = 343601971200.

The previous prime is 1430427419513. The next prime is 1430427419543. The reversal of 1430427419520 is 259147240341.

It is a super-2 number, since 2×1430427419520² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464101272 + ... + 1464102248.

It is an arithmetic number, because the mean of its divisors is an integer number (9804019680).

Almost surely, 2^{1430427419520} is an apocalyptic number.

1430427419520 is a gapful number since it is divisible by the number (10) 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 1430427419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509829038080).

1430427419520 is an abundant number, since it is smaller than the sum of its proper divisors (3589230656640).

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

1430427419520 is a wasteful number, since it uses less digits than its factorization.

1430427419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1430427419520 in words is "one trillion, four hundred thirty billion, four hundred twenty-seven million, four hundred nineteen thousand, five hundred twenty".