1335225405432 has 128 divisors (see below), whose sum is σ = 3461852712960. Its totient is φ = 428708367360.

The previous prime is 1335225405383. The next prime is 1335225405433. The reversal of 1335225405432 is 2345045225331.

It is a super-2 number, since 2×1335225405432² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335225405433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173020038 + ... + 173027754.

It is an arithmetic number, because the mean of its divisors is an integer number (27045724320).

Almost surely, 2^{1335225405432} is an apocalyptic number.

1335225405432 is a gapful number since it is divisible by the number (12) 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 1335225405432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730926356480).

1335225405432 is an abundant number, since it is smaller than the sum of its proper divisors (2126627307528).

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

1335225405432 is a wasteful number, since it uses less digits than its factorization.

1335225405432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 1335225405432 in words is "one trillion, three hundred thirty-five billion, two hundred twenty-five million, four hundred five thousand, four hundred thirty-two".