10111424240 has 80 divisors (see below), whose sum is σ = 23820350400. Its totient is φ = 3991320576.

The previous prime is 10111424221. The next prime is 10111424249. The reversal of 10111424240 is 4242411101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10111424240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111424249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2291156 + ... + 2295564.

It is an arithmetic number, because the mean of its divisors is an integer number (297754380).

Almost surely, 2^10111424240 is an apocalyptic number.

10111424240 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 10111424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910175200).

10111424240 is an abundant number, since it is smaller than the sum of its proper divisors (13708926160).

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

10111424240 is a wasteful number, since it uses less digits than its factorization.

10111424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10111424240 its reverse (4242411101), we get a palindrome (14353835341).

The spelling of 10111424240 in words is "ten billion, one hundred eleven million, four hundred twenty-four thousand, two hundred forty".