1335493992960 has 400 divisors, whose sum is σ = 4795544540952. Its totient is φ = 355221504000.

The previous prime is 1335493992947. The next prime is 1335493993007. The reversal of 1335493992960 is 692993945331.

1335493992960 is a `hidden beast` number, since 1 + 3 + 3 + 549 + 3 + 9 + 9 + 29 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1068692818176 + 266801174784 = 1033776^2 + 516528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83143330 + ... + 83159390.

Almost surely, 2^{1335493992960} is an apocalyptic number.

1335493992960 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 1335493992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397772270476).

1335493992960 is an abundant number, since it is smaller than the sum of its proper divisors (3460050547992).

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

1335493992960 is an equidigital number, since it uses as much as digits as its factorization.

1335493992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16497 (or 16472 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 1335493992960 in words is "one trillion, three hundred thirty-five billion, four hundred ninety-three million, nine hundred ninety-two thousand, nine hundred sixty".