11337705381440 has 112 divisors (see below), whose sum is σ = 27220282896384. Its totient is φ = 4497754060800.

The previous prime is 11337705381437. The next prime is 11337705381463. The reversal of 11337705381440 is 4418350773311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116222285 + ... + 116319795.

Almost surely, 2^{11337705381440} is an apocalyptic number.

11337705381440 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 11337705381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610141448192).

11337705381440 is an abundant number, since it is smaller than the sum of its proper divisors (15882577514944).

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

11337705381440 is a wasteful number, since it uses less digits than its factorization.

11337705381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100516 (or 100506 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 11337705381440 in words is "eleven trillion, three hundred thirty-seven billion, seven hundred five million, three hundred eighty-one thousand, four hundred forty".