214242100022440 has 96 divisors (see below), whose sum is σ = 560761734758400. Its totient is φ = 73452360643200.

The previous prime is 214242100022429. The next prime is 214242100022441. The reversal of 214242100022440 is 44220001242412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 214242100022399 and 214242100022408.

It is not an unprimeable number, because it can be changed into a prime (214242100022441) 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 23 ways as a sum of consecutive naturals, for example, 68719465 + ... + 71769415.

It is an arithmetic number, because the mean of its divisors is an integer number (5841268070400).

Almost surely, 2^{214242100022440} is an apocalyptic number.

214242100022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214242100022440 is an abundant number, since it is smaller than the sum of its proper divisors (346519634735960).

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

214242100022440 is a wasteful number, since it uses less digits than its factorization.

214242100022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085815 (or 3085804 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 214242100022440 its reverse (44220001242412), we get a palindrome (258462101264852).

The spelling of 214242100022440 in words is "two hundred fourteen trillion, two hundred forty-two billion, one hundred million, twenty-two thousand, four hundred forty".