1434121258752 has 864 divisors, whose sum is σ = 5293464207360. Its totient is φ = 374979870720.

The previous prime is 1434121258751. The next prime is 1434121258793. The reversal of 1434121258752 is 2578521214341.

It is a happy number.

1434121258752 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 2 + 12 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 1434121258698 and 1434121258707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434121258751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1038465102 + ... + 1038466482.

Almost surely, 2^{1434121258752} is an apocalyptic number.

1434121258752 is a gapful number since it is divisible by the number (12) 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 1434121258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646732103680).

1434121258752 is an abundant number, since it is smaller than the sum of its proper divisors (3859342948608).

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

1434121258752 is a wasteful number, since it uses less digits than its factorization.

1434121258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1533 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 1434121258752 in words is "one trillion, four hundred thirty-four billion, one hundred twenty-one million, two hundred fifty-eight thousand, seven hundred fifty-two".