101440433000 has 64 divisors (see below), whose sum is σ = 237557782800. Its totient is φ = 40544179200.

The previous prime is 101440432987. The next prime is 101440433033. The reversal of 101440433000 is 334044101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 238826116 + 101201606884 = 15454^2 + 318122^2 .

It is a super-2 number, since 2×101440433000² (a number of 23 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1249652 + ... + 1328348.

Almost surely, 2^101440433000 is an apocalyptic number.

101440433000 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 101440433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118778891400).

101440433000 is an abundant number, since it is smaller than the sum of its proper divisors (136117349800).

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

101440433000 is a wasteful number, since it uses less digits than its factorization.

101440433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80007 (or 79993 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101440433000 its reverse (334044101), we get a palindrome (101774477101).

The spelling of 101440433000 in words is "one hundred one billion, four hundred forty million, four hundred thirty-three thousand".