1434724840000 has 315 divisors, whose sum is σ = 3658416184423. Its totient is φ = 558078976000.

The previous prime is 1434724839953. The next prime is 1434724840001. The reversal of 1434724840000 is 484274341.

The square root of 1434724840000 is 1197800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 829017534016 + 605707305984 = 910504^2 + 778272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1434724840001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12696679944 + ... + 12696680056.

Almost surely, 2^{1434724840000} is an apocalyptic number.

1434724840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1434724840000 is the 1197800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434724840000

1434724840000 is an abundant number, since it is smaller than the sum of its proper divisors (2223691344423).

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

1434724840000 is an frugal number, since it uses more digits than its factorization.

1434724840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 1434724840000 in words is "one trillion, four hundred thirty-four billion, seven hundred twenty-four million, eight hundred forty thousand".