214024201400020 has 48 divisors (see below), whose sum is σ = 490614719112000. Its totient is φ = 77778612414720.

The previous prime is 214024201399999. The next prime is 214024201400021. The reversal of 214024201400020 is 20004102420412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 214024201399964 and 214024201400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214024201400021) 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, 301957170 + ... + 302665129.

It is an arithmetic number, because the mean of its divisors is an integer number (10221139981500).

Almost surely, 2^{214024201400020} is an apocalyptic number.

214024201400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214024201400020 is an abundant number, since it is smaller than the sum of its proper divisors (276590517711980).

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

214024201400020 is a wasteful number, since it uses less digits than its factorization.

214024201400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604623928 (or 604623926 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 214024201400020 its reverse (20004102420412), we get a palindrome (234028303820432).

The spelling of 214024201400020 in words is "two hundred fourteen trillion, twenty-four billion, two hundred one million, four hundred thousand, twenty".