211214040240 has 80 divisors (see below), whose sum is σ = 748301177088. Its totient is φ = 48277494528.

The previous prime is 211214040217. The next prime is 211214040277. The reversal of 211214040240 is 42040412112.

211214040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×211214040240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62859642 + ... + 62863001.

Almost surely, 2^211214040240 is an apocalyptic number.

211214040240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214040240 is an abundant number, since it is smaller than the sum of its proper divisors (537087136848).

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

211214040240 is a wasteful number, since it uses less digits than its factorization.

211214040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125722666 (or 125722660 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211214040240 its reverse (42040412112), we get a palindrome (253254452352).

The spelling of 211214040240 in words is "two hundred eleven billion, two hundred fourteen million, forty thousand, two hundred forty".