10132412400414 has 48 divisors (see below), whose sum is σ = 22462101230400. Its totient is φ = 3299499385920.

The previous prime is 10132412400403. The next prime is 10132412400419. The reversal of 10132412400414 is 41400421423101.

10132412400414 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 4 + 1 + 240 + 0 + 414 = 666.

10132412400414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132412400419) 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, 10611489 + ... + 11526860.

It is an arithmetic number, because the mean of its divisors is an integer number (467960442300).

Almost surely, 2^{10132412400414} is an apocalyptic number.

10132412400414 is an abundant number, since it is smaller than the sum of its proper divisors (12329688829986).

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

10132412400414 is a wasteful number, since it uses less digits than its factorization.

10132412400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138945 (or 22138942 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10132412400414 its reverse (41400421423101), we get a palindrome (51532833823515).

The spelling of 10132412400414 in words is "ten trillion, one hundred thirty-two billion, four hundred twelve million, four hundred thousand, four hundred fourteen".