1430312403104 has 96 divisors (see below), whose sum is σ = 3213110617920. Its totient is φ = 620888666112.

The previous prime is 1430312403043. The next prime is 1430312403109. The reversal of 1430312403104 is 4013042130341.

It is a happy number.

It is a super-4 number, since 4×1430312403104⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1430312403109) 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 15 ways as a sum of consecutive naturals, for example, 10419587 + ... + 10555965.

It is an arithmetic number, because the mean of its divisors is an integer number (33469902270).

Almost surely, 2^{1430312403104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430312403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606555308960).

1430312403104 is an abundant number, since it is smaller than the sum of its proper divisors (1782798214816).

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

1430312403104 is a wasteful number, since it uses less digits than its factorization.

1430312403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137902 (or 137894 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1430312403104 its reverse (4013042130341), we get a palindrome (5443354533445).

The spelling of 1430312403104 in words is "one trillion, four hundred thirty billion, three hundred twelve million, four hundred three thousand, one hundred four".