1014430433240 has 128 divisors (see below), whose sum is σ = 2642340096000. Its totient is φ = 343300059648.

The previous prime is 1014430433197. The next prime is 1014430433267. The reversal of 1014430433240 is 423340344101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133667366 + ... + 133674954.

It is an arithmetic number, because the mean of its divisors is an integer number (20643282000).

Almost surely, 2^{1014430433240} is an apocalyptic number.

1014430433240 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 1014430433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321170048000).

1014430433240 is an abundant number, since it is smaller than the sum of its proper divisors (1627909662760).

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

1014430433240 is a wasteful number, since it uses less digits than its factorization.

1014430433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1014430433240 its reverse (423340344101), we get a palindrome (1437770777341).

The spelling of 1014430433240 in words is "one trillion, fourteen billion, four hundred thirty million, four hundred thirty-three thousand, two hundred forty".