1430224391340 has 288 divisors, whose sum is σ = 4604664879360. Its totient is φ = 358693171200.

The previous prime is 1430224391303. The next prime is 1430224391341. The reversal of 1430224391340 is 431934220341.

1430224391340 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 224 + 3 + 91 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1430224391295 and 1430224391304.

It is not an unprimeable number, because it can be changed into a prime (1430224391341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144886605 + ... + 144896475.

It is an arithmetic number, because the mean of its divisors is an integer number (15988419720).

Almost surely, 2^{1430224391340} is an apocalyptic number.

1430224391340 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 1430224391340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302332439680).

1430224391340 is an abundant number, since it is smaller than the sum of its proper divisors (3174440488020).

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

1430224391340 is a wasteful number, since it uses less digits than its factorization.

1430224391340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1430224391340 in words is "one trillion, four hundred thirty billion, two hundred twenty-four million, three hundred ninety-one thousand, three hundred forty".