10434411042240 has 112 divisors (see below), whose sum is σ = 33223106719008. Its totient is φ = 2774627057664.

The previous prime is 10434411042221. The next prime is 10434411042247. The reversal of 10434411042240 is 4224011443401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10434411042198 and 10434411042207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434411042247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15056557 + ... + 15734316.

Almost surely, 2^{10434411042240} is an apocalyptic number.

10434411042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434411042240 is an abundant number, since it is smaller than the sum of its proper divisors (22788695676768).

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

10434411042240 is a wasteful number, since it uses less digits than its factorization.

10434411042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30791246 (or 30791236 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10434411042240 its reverse (4224011443401), we get a palindrome (14658422485641).

The spelling of 10434411042240 in words is "ten trillion, four hundred thirty-four billion, four hundred eleven million, forty-two thousand, two hundred forty".