10434342555040 has 48 divisors (see below), whose sum is σ = 24658245817632. Its totient is φ = 4172532953344.

The previous prime is 10434342555037. The next prime is 10434342555047. The reversal of 10434342555040 is 4055524343401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10434342554984 and 10434342555002.

It is not an unprimeable number, because it can be changed into a prime (10434342555047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8850334 + ... + 9959773.

It is an arithmetic number, because the mean of its divisors is an integer number (513713454534).

Almost surely, 2^{10434342555040} is an apocalyptic number.

10434342555040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434342555040 is an abundant number, since it is smaller than the sum of its proper divisors (14223903262592).

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

10434342555040 is a wasteful number, since it uses less digits than its factorization.

10434342555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813589 (or 18813581 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 10434342555040 its reverse (4055524343401), we get a palindrome (14489866898441).

The spelling of 10434342555040 in words is "ten trillion, four hundred thirty-four billion, three hundred forty-two million, five hundred fifty-five thousand, forty".