1333228648640 has 224 divisors, whose sum is σ = 3729287253120. Its totient is φ = 444402008064.

The previous prime is 1333228648637. The next prime is 1333228648643. The reversal of 1333228648640 is 468468223331.

It is an interprime number because it is at equal distance from previous prime (1333228648637) and next prime (1333228648643).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1333228648643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118429892 + ... + 118441148.

Almost surely, 2^{1333228648640} is an apocalyptic number.

1333228648640 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 1333228648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864643626560).

1333228648640 is an abundant number, since it is smaller than the sum of its proper divisors (2396058604480).

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

1333228648640 is a wasteful number, since it uses less digits than its factorization.

1333228648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747 (or 12737 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 1333228648640 in words is "one trillion, three hundred thirty-three billion, two hundred twenty-eight million, six hundred forty-eight thousand, six hundred forty".