1332294802128 has 240 divisors, whose sum is σ = 3827041817040. Its totient is φ = 432506880000.

The previous prime is 1332294802127. The next prime is 1332294802141. The reversal of 1332294802128 is 8212084922331.

1332294802128 is a `hidden beast` number, since 1 + 332 + 29 + 4 + 80 + 212 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 274416727104 + 1057878075024 = 523848^2 + 1028532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332294802127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700837978 + ... + 700839878.

It is an arithmetic number, because the mean of its divisors is an integer number (15946007571).

Almost surely, 2^{1332294802128} is an apocalyptic number.

1332294802128 is a gapful number since it is divisible by the number (18) 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 1332294802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913520908520).

1332294802128 is an abundant number, since it is smaller than the sum of its proper divisors (2494747014912).

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

1332294802128 is a wasteful number, since it uses less digits than its factorization.

1332294802128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1332294802128 in words is "one trillion, three hundred thirty-two billion, two hundred ninety-four million, eight hundred two thousand, one hundred twenty-eight".