1330314140400 has 480 divisors, whose sum is σ = 4971461806080. Its totient is φ = 297772400640.

The previous prime is 1330314140387. The next prime is 1330314140401. The reversal of 1330314140400 is 40414130331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330314140401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264001081 + ... + 264006119.

It is an arithmetic number, because the mean of its divisors is an integer number (10357212096).

Almost surely, 2^{1330314140400} is an apocalyptic number.

1330314140400 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 1330314140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485730903040).

1330314140400 is an abundant number, since it is smaller than the sum of its proper divisors (3641147665680).

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

1330314140400 is a wasteful number, since it uses less digits than its factorization.

1330314140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1330314140400 its reverse (40414130331), we get a palindrome (1370728270731).

The spelling of 1330314140400 in words is "one trillion, three hundred thirty billion, three hundred fourteen million, one hundred forty thousand, four hundred".