1434200314320 has 200 divisors, whose sum is σ = 4981869194280. Its totient is φ = 382401285120.

The previous prime is 1434200314319. The next prime is 1434200314381. The reversal of 1434200314320 is 234130024341.

1434200314320 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 20 + 0 + 314 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4147875216 + 1430052439104 = 64404^2 + 1195848^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81567930 + ... + 81585510.

Almost surely, 2^{1434200314320} is an apocalyptic number.

1434200314320 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 1434200314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490934597140).

1434200314320 is an abundant number, since it is smaller than the sum of its proper divisors (3547668879960).

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

1434200314320 is a wasteful number, since it uses less digits than its factorization.

1434200314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30195 (or 30180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1434200314320 its reverse (234130024341), we get a palindrome (1668330338661).

The spelling of 1434200314320 in words is "one trillion, four hundred thirty-four billion, two hundred million, three hundred fourteen thousand, three hundred twenty".