100444300440 has 128 divisors (see below), whose sum is σ = 334929427200. Its totient is φ = 23890680320.

The previous prime is 100444300427. The next prime is 100444300457. The reversal of 100444300440 is 44003444001.

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 100444300440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647910 + ... + 787829.

It is an arithmetic number, because the mean of its divisors is an integer number (2616636150).

Almost surely, 2^100444300440 is an apocalyptic number.

100444300440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444300440 is an abundant number, since it is smaller than the sum of its proper divisors (234485126760).

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

100444300440 is a wasteful number, since it uses less digits than its factorization.

100444300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435817 (or 1435813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100444300440 its reverse (44003444001), we get a palindrome (144447744441).

The spelling of 100444300440 in words is "one hundred billion, four hundred forty-four million, three hundred thousand, four hundred forty".