10434630026240 has 88 divisors (see below), whose sum is σ = 28606724647872. Its totient is φ = 3577587425280.

The previous prime is 10434630026231. The next prime is 10434630026243. The reversal of 10434630026240 is 4262003643401.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10434630026240.

It is not an unprimeable number, because it can be changed into a prime (10434630026243) 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, 145536566 + ... + 145608245.

Almost surely, 2^{10434630026240} is an apocalyptic number.

10434630026240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434630026240 is an abundant number, since it is smaller than the sum of its proper divisors (18172094621632).

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

10434630026240 is an equidigital number, since it uses as much as digits as its factorization.

10434630026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291144843 (or 291144825 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 10434630026240 its reverse (4262003643401), we get a palindrome (14696633669641).

The spelling of 10434630026240 in words is "ten trillion, four hundred thirty-four billion, six hundred thirty million, twenty-six thousand, two hundred forty".