111442001440 has 288 divisors, whose sum is σ = 334977902784. Its totient is φ = 34644879360.

The previous prime is 111442001417. The next prime is 111442001471. The reversal of 111442001440 is 44100244111.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 38202862 + ... + 38205778.

It is an arithmetic number, because the mean of its divisors is an integer number (1163117718).

Almost surely, 2^111442001440 is an apocalyptic number.

111442001440 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 111442001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167488951392).

111442001440 is an abundant number, since it is smaller than the sum of its proper divisors (223535901344).

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

111442001440 is a wasteful number, since it uses less digits than its factorization.

111442001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 111442001440 its reverse (44100244111), we get a palindrome (155542245551).

The spelling of 111442001440 in words is "one hundred eleven billion, four hundred forty-two million, one thousand, four hundred forty".