211414503040 has 128 divisors (see below), whose sum is σ = 544750012800. Its totient is φ = 77994872832.

The previous prime is 211414503037. The next prime is 211414503121. The reversal of 211414503040 is 40305414112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 211414502996 and 211414503014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10464789 + ... + 10484971.

It is an arithmetic number, because the mean of its divisors is an integer number (4255859475).

Almost surely, 2^211414503040 is an apocalyptic number.

211414503040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211414503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272375006400).

211414503040 is an abundant number, since it is smaller than the sum of its proper divisors (333335509760).

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

211414503040 is a wasteful number, since it uses less digits than its factorization.

211414503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21462 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 211414503040 its reverse (40305414112), we get a palindrome (251719917152).

The spelling of 211414503040 in words is "two hundred eleven billion, four hundred fourteen million, five hundred three thousand, forty".