1001414414224 has 80 divisors (see below), whose sum is σ = 2222460789120. Its totient is φ = 428202593280.

The previous prime is 1001414414183. The next prime is 1001414414227. The reversal of 1001414414224 is 4224144141001.

1001414414224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1001414414192 and 1001414414201.

It is not an unprimeable number, because it can be changed into a prime (1001414414227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109308204 + ... + 109317364.

It is an arithmetic number, because the mean of its divisors is an integer number (27780759864).

Almost surely, 2^{1001414414224} is an apocalyptic number.

1001414414224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001414414224 is an abundant number, since it is smaller than the sum of its proper divisors (1221046374896).

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

1001414414224 is a wasteful number, since it uses less digits than its factorization.

1001414414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1001414414224 its reverse (4224144141001), we get a palindrome (5225558555225).

The spelling of 1001414414224 in words is "one trillion, one billion, four hundred fourteen million, four hundred fourteen thousand, two hundred twenty-four".