1420464140240 has 80 divisors (see below), whose sum is σ = 3350560885200. Its totient is φ = 559943479296.

The previous prime is 1420464140237. The next prime is 1420464140243. The reversal of 1420464140240 is 420414640241.

It is an interprime number because it is at equal distance from previous prime (1420464140237) and next prime (1420464140243).

It can be written as a sum of positive squares in 8 ways, for example, as 14921111104 + 1405543029136 = 122152^2 + 1185556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1420464140197 and 1420464140206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420464140243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078406 + ... + 7276314.

It is an arithmetic number, because the mean of its divisors is an integer number (41882011065).

Almost surely, 2^{1420464140240} is an apocalyptic number.

1420464140240 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 1420464140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675280442600).

1420464140240 is an abundant number, since it is smaller than the sum of its proper divisors (1930096744960).

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

1420464140240 is a wasteful number, since it uses less digits than its factorization.

1420464140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199224 (or 199218 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1420464140240 its reverse (420414640241), we get a palindrome (1840878780481).

The spelling of 1420464140240 in words is "one trillion, four hundred twenty billion, four hundred sixty-four million, one hundred forty thousand, two hundred forty".