1335313404000 has 384 divisors, whose sum is σ = 4879554825600. Its totient is φ = 354690662400.

The previous prime is 1335313403993. The next prime is 1335313404023. The reversal of 1335313404000 is 4043135331.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27731946 + ... + 27780054.

It is an arithmetic number, because the mean of its divisors is an integer number (12707174025).

Almost surely, 2^{1335313404000} is an apocalyptic number.

1335313404000 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 1335313404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439777412800).

1335313404000 is an abundant number, since it is smaller than the sum of its proper divisors (3544241421600).

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

1335313404000 is a wasteful number, since it uses less digits than its factorization.

1335313404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48400 (or 48376 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1335313404000 its reverse (4043135331), we get a palindrome (1339356539331).

The spelling of 1335313404000 in words is "one trillion, three hundred thirty-five billion, three hundred thirteen million, four hundred four thousand".