10165140532041 has 32 divisors (see below), whose sum is σ = 15301189702656. Its totient is φ = 5948428824000.

The previous prime is 10165140532033. The next prime is 10165140532061. The reversal of 10165140532041 is 14023504156101.

10165140532041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10165140532041 - 2³ = 10165140532033 is a prime.

It is a super-2 number, since 2×10165140532041² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10165140531993 and 10165140532011.

It is not an unprimeable number, because it can be changed into a prime (10165140532061) 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, 31615845 + ... + 31935746.

It is an arithmetic number, because the mean of its divisors is an integer number (478162178208).

Almost surely, 2^{10165140532041} is an apocalyptic number.

10165140532041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10165140532041 is a deficient number, since it is larger than the sum of its proper divisors (5136049170615).

10165140532041 is a wasteful number, since it uses less digits than its factorization.

10165140532041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63551773.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 10165140532041 its reverse (14023504156101), we get a palindrome (24188644688142).

The spelling of 10165140532041 in words is "ten trillion, one hundred sixty-five billion, one hundred forty million, five hundred thirty-two thousand, forty-one".