10434040010044 has 48 divisors (see below), whose sum is σ = 20889077384448. Its totient is φ = 4467234307968.

The previous prime is 10434040010003. The next prime is 10434040010057. The reversal of 10434040010044 is 44001004043401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113068587 + ... + 113160829.

It is an arithmetic number, because the mean of its divisors is an integer number (435189112176).

Almost surely, 2^{10434040010044} is an apocalyptic number.

10434040010044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10434040010044 is an abundant number, since it is smaller than the sum of its proper divisors (10455037374404).

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

10434040010044 is a wasteful number, since it uses less digits than its factorization.

10434040010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96274 (or 96272 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10434040010044 its reverse (44001004043401), we get a palindrome (54435044053445).

The spelling of 10434040010044 in words is "ten trillion, four hundred thirty-four billion, forty million, ten thousand, forty-four".