10414330124064 has 48 divisors (see below), whose sum is σ = 27378974710080. Its totient is φ = 3466191548160.

The previous prime is 10414330124063. The next prime is 10414330124153. The reversal of 10414330124064 is 46042103341401.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10414330124063) 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, 81996004 + ... + 82122915.

It is an arithmetic number, because the mean of its divisors is an integer number (570395306460).

Almost surely, 2^{10414330124064} is an apocalyptic number.

It is an amenable number.

10414330124064 is an abundant number, since it is smaller than the sum of its proper divisors (16964644586016).

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

10414330124064 is a wasteful number, since it uses less digits than its factorization.

10414330124064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164119593 (or 164119585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 10414330124064 its reverse (46042103341401), we get a palindrome (56456433465465).

The spelling of 10414330124064 in words is "ten trillion, four hundred fourteen billion, three hundred thirty million, one hundred twenty-four thousand, sixty-four".