1417643642100 has 216 divisors, whose sum is σ = 4779122345760. Its totient is φ = 323507278080.

The previous prime is 1417643642089. The next prime is 1417643642227. The reversal of 1417643642100 is 12463467141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9021402 + ... + 9177198.

Almost surely, 2^{1417643642100} is an apocalyptic number.

1417643642100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1417643642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389561172880).

1417643642100 is an abundant number, since it is smaller than the sum of its proper divisors (3361478703660).

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

1417643642100 is a wasteful number, since it uses less digits than its factorization.

1417643642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156447 (or 156433 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1417643642100 in words is "one trillion, four hundred seventeen billion, six hundred forty-three million, six hundred forty-two thousand, one hundred".