10011142240 has 192 divisors, whose sum is σ = 27432095040. Its totient is φ = 3412131840.

The previous prime is 10011142231. The next prime is 10011142249. The reversal of 10011142240 is 4224111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10011142231) and next prime (10011142249).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011142249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9364426 + ... + 9365494.

It is an arithmetic number, because the mean of its divisors is an integer number (142875495).

Almost surely, 2^10011142240 is an apocalyptic number.

10011142240 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 10011142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716047520).

10011142240 is an abundant number, since it is smaller than the sum of its proper divisors (17420952800).

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

10011142240 is a wasteful number, since it uses less digits than its factorization.

10011142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10011142240 its reverse (4224111001), we get a palindrome (14235253241).

It can be divided in two parts, 10011 and 142240, that added together give a palindrome (152251).

The spelling of 10011142240 in words is "ten billion, eleven million, one hundred forty-two thousand, two hundred forty".