1430785399680 has 3072 divisors, whose sum is σ = 7050874521600. Its totient is φ = 268308578304.

The previous prime is 1430785399651. The next prime is 1430785399717. The reversal of 1430785399680 is 869935870341.

1430785399680 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 7 + 8 + 539 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4571199204 + ... + 4571199516.

It is an arithmetic number, because the mean of its divisors is an integer number (2295206550).

Almost surely, 2^{1430785399680} is an apocalyptic number.

1430785399680 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 1430785399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525437260800).

1430785399680 is an abundant number, since it is smaller than the sum of its proper divisors (5620089121920).

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

1430785399680 is a wasteful number, since it uses less digits than its factorization.

1430785399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1430785399680 in words is "one trillion, four hundred thirty billion, seven hundred eighty-five million, three hundred ninety-nine thousand, six hundred eighty".