133430424330440 has 128 divisors (see below), whose sum is σ = 308706951168000. Its totient is φ = 51878763847680.

The previous prime is 133430424330439. The next prime is 133430424330473. The reversal of 133430424330440 is 44033424034331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133430424330394 and 133430424330403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2286030137 + ... + 2286088503.

It is an arithmetic number, because the mean of its divisors is an integer number (2411773056000).

Almost surely, 2^{133430424330440} is an apocalyptic number.

133430424330440 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 133430424330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154353475584000).

133430424330440 is an abundant number, since it is smaller than the sum of its proper divisors (175276526837560).

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

133430424330440 is a wasteful number, since it uses less digits than its factorization.

133430424330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66735 (or 66731 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 133430424330440 its reverse (44033424034331), we get a palindrome (177463848364771).

The spelling of 133430424330440 in words is "one hundred thirty-three trillion, four hundred thirty billion, four hundred twenty-four million, three hundred thirty thousand, four hundred forty".