11334231343440 has 240 divisors, whose sum is σ = 40071287505600. Its totient is φ = 2863114242048.

The previous prime is 11334231343399. The next prime is 11334231343471. The reversal of 11334231343440 is 4434313243311.

11334231343440 is a `hidden beast` number, since 1 + 1 + 33 + 423 + 134 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×11334231343440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11334231343395 and 11334231343404.

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, 172595092 + ... + 172660748.

It is an arithmetic number, because the mean of its divisors is an integer number (166963697940).

Almost surely, 2^{11334231343440} is an apocalyptic number.

11334231343440 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 11334231343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035643752800).

11334231343440 is an abundant number, since it is smaller than the sum of its proper divisors (28737056162160).

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

11334231343440 is a wasteful number, since it uses less digits than its factorization.

11334231343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78314 (or 78305 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 11334231343440 its reverse (4434313243311), we get a palindrome (15768544586751).

The spelling of 11334231343440 in words is "eleven trillion, three hundred thirty-four billion, two hundred thirty-one million, three hundred forty-three thousand, four hundred forty".