10111405144032 has 120 divisors (see below), whose sum is σ = 29752120401696. Its totient is φ = 3368795609088.

The previous prime is 10111405144021. The next prime is 10111405144037. The reversal of 10111405144032 is 23044150411101.

It is a happy number.

10111405144032 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 140 + 51 + 440 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10111405143987 and 10111405144005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111405144037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4261033 + ... + 6195095.

Almost surely, 2^{10111405144032} is an apocalyptic number.

10111405144032 is a gapful number since it is divisible by the number (12) 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 10111405144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876060200848).

10111405144032 is an abundant number, since it is smaller than the sum of its proper divisors (19640715257664).

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

10111405144032 is a wasteful number, since it uses less digits than its factorization.

10111405144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936102 (or 1936085 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10111405144032 its reverse (23044150411101), we get a palindrome (33155555555133).

The spelling of 10111405144032 in words is "ten trillion, one hundred eleven billion, four hundred five million, one hundred forty-four thousand, thirty-two".