211424201454000 has 80 divisors (see below), whose sum is σ = 681631625507040. Its totient is φ = 56379787052800.

The previous prime is 211424201453957. The next prime is 211424201454001. The reversal of 211424201454000 is 454102424112.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (211424201454001) 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 15 ways as a sum of consecutive naturals, for example, 17618677455 + ... + 17618689454.

It is an arithmetic number, because the mean of its divisors is an integer number (8520395318838).

Almost surely, 2^{211424201454000} is an apocalyptic number.

211424201454000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211424201454000 is an abundant number, since it is smaller than the sum of its proper divisors (470207424053040).

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

211424201454000 is a wasteful number, since it uses less digits than its factorization.

211424201454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35237366935 (or 35237366919 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 211424201454000 its reverse (454102424112), we get a palindrome (211878303878112).

The spelling of 211424201454000 in words is "two hundred eleven trillion, four hundred twenty-four billion, two hundred one million, four hundred fifty-four thousand".