1336159319040 has 1584 divisors, whose sum is σ = 5804505427968. Its totient is φ = 278245933056.

The previous prime is 1336159319009. The next prime is 1336159319041. The reversal of 1336159319040 is 409139516331.

1336159319040 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 1 + 593 + 19 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336159319041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6923105184 + ... + 6923105376.

Almost surely, 2^{1336159319040} is an apocalyptic number.

1336159319040 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 1336159319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902252713984).

1336159319040 is an abundant number, since it is smaller than the sum of its proper divisors (4468346108928).

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

1336159319040 is a wasteful number, since it uses less digits than its factorization.

1336159319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 1336159319040 in words is "one trillion, three hundred thirty-six billion, one hundred fifty-nine million, three hundred nineteen thousand, forty".