1114334443440 has 240 divisors, whose sum is σ = 3848997237696. Its totient is φ = 288707328000.

The previous prime is 1114334443433. The next prime is 1114334443447. The reversal of 1114334443440 is 443444334111.

1114334443440 is a `hidden beast` number, since 1 + 1 + 143 + 3 + 44 + 434 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1114334443433) and next prime (1114334443447).

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

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 = 1114334443395 and 1114334443404.

It is not an unprimeable number, because it can be changed into a prime (1114334443447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18644805 + ... + 18704475.

Almost surely, 2^{1114334443440} is an apocalyptic number.

1114334443440 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 1114334443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924498618848).

1114334443440 is an abundant number, since it is smaller than the sum of its proper divisors (2734662794256).

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

1114334443440 is a wasteful number, since it uses less digits than its factorization.

1114334443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60428 (or 60419 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1114334443440 its reverse (443444334111), we get a palindrome (1557778777551).

The spelling of 1114334443440 in words is "one trillion, one hundred fourteen billion, three hundred thirty-four million, four hundred forty-three thousand, four hundred forty".