1420215625984 has 81 divisors (see below), whose sum is σ = 2856474608169. Its totient is φ = 704740270080.

The previous prime is 1420215625981. The next prime is 1420215625987. The reversal of 1420215625984 is 4895265120241.

The square root of 1420215625984 is 1191728.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1420215625981) and next prime (1420215625987).

It can be written as a sum of positive squares in only one way, i.e., 576992160000 + 843223465984 = 759600^2 + 918272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1420215625981) 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 8 ways as a sum of consecutive naturals, for example, 4023273552 + ... + 4023273904.

Almost surely, 2^{1420215625984} is an apocalyptic number.

1420215625984 is the 1191728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420215625984

1420215625984 is an abundant number, since it is smaller than the sum of its proper divisors (1436258982185).

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

1420215625984 is an frugal number, since it uses more digits than its factorization.

1420215625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 1420215625984 by its sum of digits (49), we get a square (69590565673216 = 8342096²).

The spelling of 1420215625984 in words is "one trillion, four hundred twenty billion, two hundred fifteen million, six hundred twenty-five thousand, nine hundred eighty-four".