1335004338480 has 160 divisors (see below), whose sum is σ = 4274400706560. Its totient is φ = 344324766720.

The previous prime is 1335004338463. The next prime is 1335004338491. The reversal of 1335004338480 is 848334005331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13513906 + ... + 13612334.

It is an arithmetic number, because the mean of its divisors is an integer number (26715004416).

Almost surely, 2^{1335004338480} is an apocalyptic number.

1335004338480 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 1335004338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137200353280).

1335004338480 is an abundant number, since it is smaller than the sum of its proper divisors (2939396368080).

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

1335004338480 is a wasteful number, since it uses less digits than its factorization.

1335004338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100299 (or 100293 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1335004338480 in words is "one trillion, three hundred thirty-five billion, four million, three hundred thirty-eight thousand, four hundred eighty".