1417409280001 has 80 divisors (see below), whose sum is σ = 1743839092800. Its totient is φ = 1143889084800.

The previous prime is 1417409279977. The next prime is 1417409280011. The reversal of 1417409280001 is 1000829047141.

It is a de Polignac number, because none of the positive numbers 2^k-1417409280001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1417409280011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2710151326 + ... + 2710151848.

It is an arithmetic number, because the mean of its divisors is an integer number (21797988660).

Almost surely, 2^{1417409280001} is an apocalyptic number.

1417409280001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1417409280001 is a deficient number, since it is larger than the sum of its proper divisors (326429812799).

1417409280001 is an equidigital number, since it uses as much as digits as its factorization.

1417409280001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 1417409280001 in words is "one trillion, four hundred seventeen billion, four hundred nine million, two hundred eighty thousand, one".