1331214383880 has 320 divisors, whose sum is σ = 4621352186880. Its totient is φ = 343341504000.

The previous prime is 1331214383833. The next prime is 1331214383897. The reversal of 1331214383880 is 883834121331.

1331214383880 is a `hidden beast` number, since 13 + 3 + 121 + 438 + 3 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 268875405 + ... + 268880355.

It is an arithmetic number, because the mean of its divisors is an integer number (14441725584).

Almost surely, 2^{1331214383880} is an apocalyptic number.

1331214383880 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 1331214383880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310676093440).

1331214383880 is an abundant number, since it is smaller than the sum of its proper divisors (3290137803000).

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

1331214383880 is a wasteful number, since it uses less digits than its factorization.

1331214383880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1331214383880 in words is "one trillion, three hundred thirty-one billion, two hundred fourteen million, three hundred eighty-three thousand, eight hundred eighty".