1113352381440 has 1056 divisors, whose sum is σ = 4564352782080. Its totient is φ = 248285233152.

The previous prime is 1113352381387. The next prime is 1113352381451. The reversal of 1113352381440 is 441832533111.

1113352381440 is a `hidden beast` number, since 1 + 1 + 13 + 3 + 523 + 81 + 4 + 40 = 666.

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 = 1113352381395 and 1113352381404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261778354 + ... + 261782606.

Almost surely, 2^{1113352381440} is an apocalyptic number.

1113352381440 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 1113352381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282176391040).

1113352381440 is an abundant number, since it is smaller than the sum of its proper divisors (3451000400640).

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

1113352381440 is a wasteful number, since it uses less digits than its factorization.

1113352381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1113352381440 in words is "one trillion, one hundred thirteen billion, three hundred fifty-two million, three hundred eighty-one thousand, four hundred forty".