1333126729728 has 520 divisors, whose sum is σ = 4156005934080. Its totient is φ = 425283747840.

The previous prime is 1333126729703. The next prime is 1333126729747. The reversal of 1333126729728 is 8279276213331.

It is a happy number.

1333126729728 is a `hidden beast` number, since 1 + 3 + 331 + 267 + 29 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1221930463 + ... + 1221931553.

It is an arithmetic number, because the mean of its divisors is an integer number (7992319104).

Almost surely, 2^{1333126729728} is an apocalyptic number.

1333126729728 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 1333126729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078002967040).

1333126729728 is an abundant number, since it is smaller than the sum of its proper divisors (2822879204352).

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

1333126729728 is a wasteful number, since it uses less digits than its factorization.

1333126729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1252 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 1333126729728 in words is "one trillion, three hundred thirty-three billion, one hundred twenty-six million, seven hundred twenty-nine thousand, seven hundred twenty-eight".