101441433040 has 160 divisors (see below), whose sum is σ = 252665364096. Its totient is φ = 37742837760.

The previous prime is 101441433017. The next prime is 101441433043. The reversal of 101441433040 is 40334144101.

It is a junction number, because it is equal to n+sod(n) for n = 101441432996 and 101441433014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441433043) 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, 42783055 + ... + 42785425.

Almost surely, 2^101441433040 is an apocalyptic number.

101441433040 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 101441433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126332682048).

101441433040 is an abundant number, since it is smaller than the sum of its proper divisors (151223931056).

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

101441433040 is a wasteful number, since it uses less digits than its factorization.

101441433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101441433040 its reverse (40334144101), we get a palindrome (141775577141).

The spelling of 101441433040 in words is "one hundred one billion, four hundred forty-one million, four hundred thirty-three thousand, forty".