10134601624410 has 192 divisors, whose sum is σ = 26554534300800. Its totient is φ = 2473563230208.

The previous prime is 10134601624351. The next prime is 10134601624421. The reversal of 10134601624410 is 1442610643101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85314136 + ... + 85432844.

It is an arithmetic number, because the mean of its divisors is an integer number (138304866150).

Almost surely, 2^{10134601624410} is an apocalyptic number.

10134601624410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134601624410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277267150400).

10134601624410 is an abundant number, since it is smaller than the sum of its proper divisors (16419932676390).

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

10134601624410 is a wasteful number, since it uses less digits than its factorization.

10134601624410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119025 (or 119008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 10134601624410 in words is "ten trillion, one hundred thirty-four billion, six hundred one million, six hundred twenty-four thousand, four hundred ten".