10434132141642 has 48 divisors (see below), whose sum is σ = 24662749262112. Its totient is φ = 3161825518560.

The previous prime is 10434132141613. The next prime is 10434132141647. The reversal of 10434132141642 is 24614123143401.

It is a happy number.

10434132141642 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 1 + 3 + 2 + 1 + 4 + 1 + 642 = 666.

It is a super-2 number, since 2×10434132141642² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10434132141597 and 10434132141606.

It is not an unprimeable number, because it can be changed into a prime (10434132141647) 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, 24664408 + ... + 25083884.

It is an arithmetic number, because the mean of its divisors is an integer number (513807276294).

Almost surely, 2^{10434132141642} is an apocalyptic number.

10434132141642 is an abundant number, since it is smaller than the sum of its proper divisors (14228617120470).

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

10434132141642 is a wasteful number, since it uses less digits than its factorization.

10434132141642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545123 (or 545120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10434132141642 in words is "ten trillion, four hundred thirty-four billion, one hundred thirty-two million, one hundred forty-one thousand, six hundred forty-two".