1420197101568 has 960 divisors, whose sum is σ = 5164693248000. Its totient is φ = 366917713920.

The previous prime is 1420197101551. The next prime is 1420197101591. The reversal of 1420197101568 is 8651017910241.

1420197101568 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 19 + 71 + 0 + 1 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19454754780 + ... + 19454754852.

It is an arithmetic number, because the mean of its divisors is an integer number (5379888800).

Almost surely, 2^{1420197101568} is an apocalyptic number.

1420197101568 is a gapful number since it is divisible by the number (18) 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 1420197101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582346624000).

1420197101568 is an abundant number, since it is smaller than the sum of its proper divisors (3744496146432).

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

1420197101568 is an frugal number, since it uses more digits than its factorization.

1420197101568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1420197101568 in words is "one trillion, four hundred twenty billion, one hundred ninety-seven million, one hundred one thousand, five hundred sixty-eight".