1434144050240 has 168 divisors, whose sum is σ = 3957556923072. Its totient is φ = 490829701120.

The previous prime is 1434144050239. The next prime is 1434144050303. The reversal of 1434144050240 is 420504414341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1434144050197 and 1434144050206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312389 + ... + 1722171.

Almost surely, 2^{1434144050240} is an apocalyptic number.

1434144050240 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 1434144050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978778461536).

1434144050240 is an abundant number, since it is smaller than the sum of its proper divisors (2523412872832).

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

1434144050240 is a wasteful number, since it uses less digits than its factorization.

1434144050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409845 (or 1409818 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1434144050240 its reverse (420504414341), we get a palindrome (1854648464581).

The spelling of 1434144050240 in words is "one trillion, four hundred thirty-four billion, one hundred forty-four million, fifty thousand, two hundred forty".