211120453424240 has 80 divisors (see below), whose sum is σ = 512547644851200. Its totient is φ = 80721155978496.

The previous prime is 211120453424183. The next prime is 211120453424249. The reversal of 211120453424240 is 42424354021112.

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

It is a super-2 number, since 2×211120453424240² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211120453424240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120453424249) 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, 36636680 + ... + 42005799.

It is an arithmetic number, because the mean of its divisors is an integer number (6406845560640).

Almost surely, 2^{211120453424240} is an apocalyptic number.

211120453424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120453424240 is an abundant number, since it is smaller than the sum of its proper divisors (301427191426960).

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

211120453424240 is a wasteful number, since it uses less digits than its factorization.

211120453424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78643974 (or 78643968 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 211120453424240 in words is "two hundred eleven trillion, one hundred twenty billion, four hundred fifty-three million, four hundred twenty-four thousand, two hundred forty".