1420416720 has 120 divisors (see below), whose sum is σ = 4848583272. Its totient is φ = 372556800.

The previous prime is 1420416709. The next prime is 1420416737. The reversal of 1420416720 is 276140241.

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 1358069904 = 7896^2 + 36852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27750 + ... + 60090.

Almost surely, 2^1420416720 is an apocalyptic number.

1420416720 is a gapful number since it is divisible by the number (10) 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 1420416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424291636).

1420416720 is an abundant number, since it is smaller than the sum of its proper divisors (3428166552).

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

1420416720 is a wasteful number, since it uses less digits than its factorization.

1420416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32412 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1420416720 is about 37688.4162575187. The cubic root of 1420416720 is about 1124.1008044410.

Adding to 1420416720 its reverse (276140241), we get a palindrome (1696556961).

The spelling of 1420416720 in words is "one billion, four hundred twenty million, four hundred sixteen thousand, seven hundred twenty".