1328676271104 has 704 divisors, whose sum is σ = 4674784665600. Its totient is φ = 325540380672.

The previous prime is 1328676271061. The next prime is 1328676271151. The reversal of 1328676271104 is 4011726768231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375436567 + ... + 375440105.

Almost surely, 2^{1328676271104} is an apocalyptic number.

1328676271104 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 1328676271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337392332800).

1328676271104 is an abundant number, since it is smaller than the sum of its proper divisors (3346108394496).

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

1328676271104 is a wasteful number, since it uses less digits than its factorization.

1328676271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1328676271104 in words is "one trillion, three hundred twenty-eight billion, six hundred seventy-six million, two hundred seventy-one thousand, one hundred four".