1332350040000 has 560 divisors, whose sum is σ = 5129513630208. Its totient is φ = 298781184000.

The previous prime is 1332350039963. The next prime is 1332350040037. The reversal of 1332350040000 is 400532331.

It is an interprime number because it is at equal distance from previous prime (1332350039963) and next prime (1332350040037).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 44505037 + ... + 44534963.

Almost surely, 2^{1332350040000} is an apocalyptic number.

1332350040000 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 1332350040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564756815104).

1332350040000 is an abundant number, since it is smaller than the sum of its proper divisors (3797163590208).

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

1332350040000 is an equidigital number, since it uses as much as digits as its factorization.

1332350040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022 (or 29997 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 1332350040000 its reverse (400532331), we get a palindrome (1332750572331).

The spelling of 1332350040000 in words is "one trillion, three hundred thirty-two billion, three hundred fifty million, forty thousand".