101440144242432 has 216 divisors, whose sum is σ = 310859514492800. Its totient is φ = 31722721265664.

The previous prime is 101440144242427. The next prime is 101440144242433. The reversal of 101440144242432 is 234242441044101.

101440144242432 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 40 + 144 + 2 + 42 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101440144242433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6739882 + ... + 15757737.

Almost surely, 2^{101440144242432} is an apocalyptic number.

101440144242432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101440144242432 is an abundant number, since it is smaller than the sum of its proper divisors (209419370250368).

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

101440144242432 is a wasteful number, since it uses less digits than its factorization.

101440144242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22497763 (or 22497746 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 101440144242432 its reverse (234242441044101), we get a palindrome (335682585286533).

The spelling of 101440144242432 in words is "one hundred one trillion, four hundred forty billion, one hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".