10414430414020 has 48 divisors (see below), whose sum is σ = 22399206762240. Its totient is φ = 4065204439296.

The previous prime is 10414430414009. The next prime is 10414430414033. The reversal of 10414430414020 is 2041403441401.

It is a super-2 number, since 2×10414430414020² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10414430414020.

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, 4540905 + ... + 6438064.

It is an arithmetic number, because the mean of its divisors is an integer number (466650140880).

Almost surely, 2^{10414430414020} is an apocalyptic number.

10414430414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414430414020 is an abundant number, since it is smaller than the sum of its proper divisors (11984776348220).

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

10414430414020 is a wasteful number, since it uses less digits than its factorization.

10414430414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10980124 (or 10980122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10414430414020 its reverse (2041403441401), we get a palindrome (12455833855421).

The spelling of 10414430414020 in words is "ten trillion, four hundred fourteen billion, four hundred thirty million, four hundred fourteen thousand, twenty".