1420768512 has 252 divisors, whose sum is σ = 4450311264. Its totient is φ = 451630080.

The previous prime is 1420768511. The next prime is 1420768537. The reversal of 1420768512 is 2158670241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420768511) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 4292187 + ... + 4292517.

Almost surely, 2^1420768512 is an apocalyptic number.

1420768512 is a gapful number since it is divisible by the number (12) 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 1420768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225155632).

1420768512 is an abundant number, since it is smaller than the sum of its proper divisors (3029542752).

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

1420768512 is an frugal number, since it uses more digits than its factorization.

1420768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1420768512 is about 37693.0830789947. The cubic root of 1420768512 is about 1124.1935981079.

The spelling of 1420768512 in words is "one billion, four hundred twenty million, seven hundred sixty-eight thousand, five hundred twelve".