10100444240 has 40 divisors (see below), whose sum is σ = 23500579200. Its totient is φ = 4037245056.

The previous prime is 10100444231. The next prime is 10100444257. The reversal of 10100444240 is 4244400101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66797 + ... + 157043.

It is an arithmetic number, because the mean of its divisors is an integer number (587514480).

Almost surely, 2^10100444240 is an apocalyptic number.

10100444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100444240 is an abundant number, since it is smaller than the sum of its proper divisors (13400134960).

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

10100444240 is a wasteful number, since it uses less digits than its factorization.

10100444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91659 (or 91653 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10100444240 its reverse (4244400101), we get a palindrome (14344844341).

The spelling of 10100444240 in words is "ten billion, one hundred million, four hundred forty-four thousand, two hundred forty".