1414021012440 has 256 divisors, whose sum is σ = 4407031480320. Its totient is φ = 362665175040.

The previous prime is 1414021012433. The next prime is 1414021012517. The reversal of 1414021012440 is 442101204141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1414021012440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159573610 + ... + 159582470.

It is an arithmetic number, because the mean of its divisors is an integer number (17214966720).

Almost surely, 2^{1414021012440} is an apocalyptic number.

1414021012440 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 1414021012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203515740160).

1414021012440 is an abundant number, since it is smaller than the sum of its proper divisors (2993010467880).

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

1414021012440 is a wasteful number, since it uses less digits than its factorization.

1414021012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1414021012440 its reverse (442101204141), we get a palindrome (1856122216581).

The spelling of 1414021012440 in words is "one trillion, four hundred fourteen billion, twenty-one million, twelve thousand, four hundred forty".