1335605436660 has 144 divisors (see below), whose sum is σ = 4111430779008. Its totient is φ = 323715659520.

The previous prime is 1335605436631. The next prime is 1335605436749. The reversal of 1335605436660 is 666345065331.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40806622 + ... + 40839338.

It is an arithmetic number, because the mean of its divisors is an integer number (28551602632).

Almost surely, 2^{1335605436660} is an apocalyptic number.

1335605436660 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 1335605436660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055715389504).

1335605436660 is an abundant number, since it is smaller than the sum of its proper divisors (2775825342348).

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

1335605436660 is a wasteful number, since it uses less digits than its factorization.

1335605436660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38374 (or 38361 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 48.

The spelling of 1335605436660 in words is "one trillion, three hundred thirty-five billion, six hundred five million, four hundred thirty-six thousand, six hundred sixty".