10414101013232 has 40 divisors (see below), whose sum is σ = 23065367472000. Its totient is φ = 4462107625152.

The previous prime is 10414101013207. The next prime is 10414101013237. The reversal of 10414101013232 is 23231010141401.

It is a super-3 number, since 3×10414101013232³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10414101013198 and 10414101013207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414101013237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10768982 + ... + 11696117.

It is an arithmetic number, because the mean of its divisors is an integer number (576634186800).

Almost surely, 2^{10414101013232} is an apocalyptic number.

It is an amenable number.

10414101013232 is an abundant number, since it is smaller than the sum of its proper divisors (12651266458768).

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

10414101013232 is a wasteful number, since it uses less digits than its factorization.

10414101013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22469253 (or 22469247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10414101013232 its reverse (23231010141401), we get a palindrome (33645111154633).

The spelling of 10414101013232 in words is "ten trillion, four hundred fourteen billion, one hundred one million, thirteen thousand, two hundred thirty-two".