101144430440 has 32 divisors (see below), whose sum is σ = 231868840680. Its totient is φ = 39694417152.

The previous prime is 101144430433. The next prime is 101144430467. The reversal of 101144430440 is 44034441101.

It can be written as a sum of positive squares in 4 ways, for example, as 94444353124 + 6700077316 = 307318^2 + 81854^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23852699 + ... + 23856938.

Almost surely, 2^101144430440 is an apocalyptic number.

101144430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144430440 is an abundant number, since it is smaller than the sum of its proper divisors (130724410240).

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

101144430440 is a wasteful number, since it uses less digits than its factorization.

101144430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47709701 (or 47709697 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101144430440 its reverse (44034441101), we get a palindrome (145178871541).

The spelling of 101144430440 in words is "one hundred one billion, one hundred forty-four million, four hundred thirty thousand, four hundred forty".