1332057400128 has 896 divisors, whose sum is σ = 5092455997440. Its totient is φ = 335963510784.

The previous prime is 1332057400109. The next prime is 1332057400153. The reversal of 1332057400128 is 8210047502331.

1332057400128 is a `hidden beast` number, since 1 + 33 + 205 + 7 + 400 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1332057400092 and 1332057400101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292950751 + ... + 292955297.

It is an arithmetic number, because the mean of its divisors is an integer number (5683544640).

Almost surely, 2^{1332057400128} is an apocalyptic number.

1332057400128 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 1332057400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546227998720).

1332057400128 is an abundant number, since it is smaller than the sum of its proper divisors (3760398597312).

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

1332057400128 is an equidigital number, since it uses as much as digits as its factorization.

1332057400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1332057400128 in words is "one trillion, three hundred thirty-two billion, fifty-seven million, four hundred thousand, one hundred twenty-eight".