10111442011440 has 640 divisors, whose sum is σ = 39527321518080. Its totient is φ = 2077155225600.

The previous prime is 10111442011439. The next prime is 10111442011441. The reversal of 10111442011440 is 4411024411101.

It is an interprime number because it is at equal distance from previous prime (10111442011439) and next prime (10111442011441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10111442011440.

It is not an unprimeable number, because it can be changed into a prime (10111442011441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 651208957 + ... + 651224483.

It is an arithmetic number, because the mean of its divisors is an integer number (61761439872).

Almost surely, 2^{10111442011440} is an apocalyptic number.

10111442011440 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 10111442011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763660759040).

10111442011440 is an abundant number, since it is smaller than the sum of its proper divisors (29415879506640).

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

10111442011440 is a wasteful number, since it uses less digits than its factorization.

10111442011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15961 (or 15955 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 10111442011440 its reverse (4411024411101), we get a palindrome (14522466422541).

The spelling of 10111442011440 in words is "ten trillion, one hundred eleven billion, four hundred forty-two million, eleven thousand, four hundred forty".