1330021402304 has 112 divisors (see below), whose sum is σ = 3120940956480. Its totient is φ = 550242201600.

The previous prime is 1330021402301. The next prime is 1330021402331. The reversal of 1330021402304 is 4032041200331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1330021402304.

It is not an unprimeable number, because it can be changed into a prime (1330021402301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105241874 + ... + 105254510.

Almost surely, 2^{1330021402304} is an apocalyptic number.

1330021402304 is a gapful number since it is divisible by the number (14) 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 1330021402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560470478240).

1330021402304 is an abundant number, since it is smaller than the sum of its proper divisors (1790919554176).

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

1330021402304 is a wasteful number, since it uses less digits than its factorization.

1330021402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20786 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1330021402304 its reverse (4032041200331), we get a palindrome (5362062602635).

The spelling of 1330021402304 in words is "one trillion, three hundred thirty billion, twenty-one million, four hundred two thousand, three hundred four".