133414220440 has 128 divisors (see below), whose sum is σ = 343096560000. Its totient is φ = 46385963008.

The previous prime is 133414220413. The next prime is 133414220447. The reversal of 133414220440 is 44022414331.

It is a super-2 number, since 2×133414220440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133414220399 and 133414220408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133414220447) 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 31 ways as a sum of consecutive naturals, for example, 306486 + ... + 600634.

It is an arithmetic number, because the mean of its divisors is an integer number (2680441875).

Almost surely, 2^133414220440 is an apocalyptic number.

133414220440 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 133414220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171548280000).

133414220440 is an abundant number, since it is smaller than the sum of its proper divisors (209682339560).

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

133414220440 is a wasteful number, since it uses less digits than its factorization.

133414220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294229 (or 294225 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 133414220440 its reverse (44022414331), we get a palindrome (177436634771).

The spelling of 133414220440 in words is "one hundred thirty-three billion, four hundred fourteen million, two hundred twenty thousand, four hundred forty".