1420103005167 has 96 divisors (see below), whose sum is σ = 2439133668864. Its totient is φ = 726595833600.

The previous prime is 1420103005127. The next prime is 1420103005193. The reversal of 1420103005167 is 7615003010241.

It is not a de Polignac number, because 1420103005167 - 2¹² = 1420103001071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420103005127) 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 95 ways as a sum of consecutive naturals, for example, 125478393 + ... + 125489709.

It is an arithmetic number, because the mean of its divisors is an integer number (25407642384).

Almost surely, 2^{1420103005167} is an apocalyptic number.

1420103005167 is a deficient number, since it is larger than the sum of its proper divisors (1019030663697).

1420103005167 is a wasteful number, since it uses less digits than its factorization.

1420103005167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1420103005167 in words is "one trillion, four hundred twenty billion, one hundred three million, five thousand, one hundred sixty-seven".