101032144440 has 128 divisors (see below), whose sum is σ = 323235360000. Its totient is φ = 25174591488.

The previous prime is 101032144429. The next prime is 101032144483. The reversal of 101032144440 is 44441230101.

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 101032144440.

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, 105411 + ... + 461709.

It is an arithmetic number, because the mean of its divisors is an integer number (2525276250).

Almost surely, 2^101032144440 is an apocalyptic number.

101032144440 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 101032144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161617680000).

101032144440 is an abundant number, since it is smaller than the sum of its proper divisors (222203215560).

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

101032144440 is a wasteful number, since it uses less digits than its factorization.

101032144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356469 (or 356465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101032144440 its reverse (44441230101), we get a palindrome (145473374541).

The spelling of 101032144440 in words is "one hundred one billion, thirty-two million, one hundred forty-four thousand, four hundred forty".