211450101440 has 112 divisors (see below), whose sum is σ = 505420725504. Its totient is φ = 84260736000.

The previous prime is 211450101439. The next prime is 211450101449. The reversal of 211450101440 is 44101054112.

211450101440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211450101440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211450101449) by changing a digit.

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, 163787195 + ... + 163788485.

Almost surely, 2^211450101440 is an apocalyptic number.

211450101440 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 211450101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252710362752).

211450101440 is an abundant number, since it is smaller than the sum of its proper divisors (293970624064).

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

211450101440 is a wasteful number, since it uses less digits than its factorization.

211450101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 211450101440 its reverse (44101054112), we get a palindrome (255551155552).

The spelling of 211450101440 in words is "two hundred eleven billion, four hundred fifty million, one hundred one thousand, four hundred forty".