10010134431144 has 64 divisors (see below), whose sum is σ = 27830690049600. Its totient is φ = 3333740148288.

The previous prime is 10010134431113. The next prime is 10010134431149. The reversal of 10010134431144 is 44113443101001.

10010134431144 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 344 + 311 + 4 + 4 = 666.

It is a super-2 number, since 2×10010134431144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10010134431149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20391099 + ... + 20876234.

It is an arithmetic number, because the mean of its divisors is an integer number (434854532025).

Almost surely, 2^{10010134431144} is an apocalyptic number.

It is an amenable number.

10010134431144 is an abundant number, since it is smaller than the sum of its proper divisors (17820555618456).

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

10010134431144 is a wasteful number, since it uses less digits than its factorization.

10010134431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41268471 (or 41268461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10010134431144 its reverse (44113443101001), we get a palindrome (54123577532145).

The spelling of 10010134431144 in words is "ten trillion, ten billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred forty-four".