1332134034440 has 256 divisors, whose sum is σ = 3420670176000. Its totient is φ = 462454272000.

The previous prime is 1332134034391. The next prime is 1332134034479. The reversal of 1332134034440 is 444304312331.

It is a super-2 number, since 2×1332134034440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1332134034397 and 1332134034406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127970650 + ... + 1127971830.

It is an arithmetic number, because the mean of its divisors is an integer number (13361992875).

Almost surely, 2^{1332134034440} is an apocalyptic number.

1332134034440 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 1332134034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710335088000).

1332134034440 is an abundant number, since it is smaller than the sum of its proper divisors (2088536141560).

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

1332134034440 is a wasteful number, since it uses less digits than its factorization.

1332134034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1332134034440 its reverse (444304312331), we get a palindrome (1776438346771).

The spelling of 1332134034440 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-four million, thirty-four thousand, four hundred forty".