1420567446144 has 256 divisors, whose sum is σ = 4710371097600. Its totient is φ = 368516259840.

The previous prime is 1420567446071. The next prime is 1420567446169. The reversal of 1420567446144 is 4416447650241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1420567446093 and 1420567446102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23890819 + ... + 23950205.

It is an arithmetic number, because the mean of its divisors is an integer number (18399887100).

Almost surely, 2^{1420567446144} is an apocalyptic number.

1420567446144 is a gapful number since it is divisible by the number (14) 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 1420567446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355185548800).

1420567446144 is an abundant number, since it is smaller than the sum of its proper divisors (3289803651456).

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

1420567446144 is a wasteful number, since it uses less digits than its factorization.

1420567446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60231 (or 60219 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 1420567446144 in words is "one trillion, four hundred twenty billion, five hundred sixty-seven million, four hundred forty-six thousand, one hundred forty-four".