1406201440240 has 80 divisors (see below), whose sum is σ = 3278907324000. Its totient is φ = 560849780736.

The previous prime is 1406201440207. The next prime is 1406201440297. The reversal of 1406201440240 is 420441026041.

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 = 1406201440199 and 1406201440208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56705284 + ... + 56730076.

It is an arithmetic number, because the mean of its divisors is an integer number (40986341550).

Almost surely, 2^{1406201440240} is an apocalyptic number.

1406201440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406201440240 is an abundant number, since it is smaller than the sum of its proper divisors (1872705883760).

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

1406201440240 is a wasteful number, since it uses less digits than its factorization.

1406201440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26834 (or 26828 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1406201440240 its reverse (420441026041), we get a palindrome (1826642466281).

The spelling of 1406201440240 in words is "one trillion, four hundred six billion, two hundred one million, four hundred forty thousand, two hundred forty".