1330111110400 has 216 divisors, whose sum is σ = 3377469874968. Its totient is φ = 518307840000.

The previous prime is 1330111110379. The next prime is 1330111110443. The reversal of 1330111110400 is 40111110331.

It can be written as a sum of positive squares in 12 ways, for example, as 834021909504 + 496089200896 = 913248^2 + 704336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199683070 + ... + 199689730.

Almost surely, 2^{1330111110400} is an apocalyptic number.

1330111110400 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 1330111110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688734937484).

1330111110400 is an abundant number, since it is smaller than the sum of its proper divisors (2047358764568).

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

1330111110400 is an equidigital number, since it uses as much as digits as its factorization.

1330111110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7489 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1330111110400 its reverse (40111110331), we get a palindrome (1370222220731).

The spelling of 1330111110400 in words is "one trillion, three hundred thirty billion, one hundred eleven million, one hundred ten thousand, four hundred".