1420130105856 has 640 divisors, whose sum is σ = 5410145157120. Its totient is φ = 356957798400.

The previous prime is 1420130105813. The next prime is 1420130105857. The reversal of 1420130105856 is 6585010310241.

1420130105856 is a `hidden beast` number, since 1 + 42 + 0 + 1 + 30 + 1 + 0 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1420130105856.

It is not an unprimeable number, because it can be changed into a prime (1420130105857) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32976370 + ... + 33019406.

It is an arithmetic number, because the mean of its divisors is an integer number (8453351808).

Almost surely, 2^{1420130105856} is an apocalyptic number.

1420130105856 is a gapful number since it is divisible by the number (16) 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 1420130105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705072578560).

1420130105856 is an abundant number, since it is smaller than the sum of its proper divisors (3990015051264).

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

1420130105856 is a wasteful number, since it uses less digits than its factorization.

1420130105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43113 (or 43091 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1420130105856 in words is "one trillion, four hundred twenty billion, one hundred thirty million, one hundred five thousand, eight hundred fifty-six".