211611146440 has 128 divisors (see below), whose sum is σ = 509163926400. Its totient is φ = 78915133440.

The previous prime is 211611146423. The next prime is 211611146443. The reversal of 211611146440 is 44641116112.

It is a happy number.

It is a super-2 number, since 2×211611146440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211611146443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101686200 + ... + 101688280.

It is an arithmetic number, because the mean of its divisors is an integer number (3977843175).

Almost surely, 2^211611146440 is an apocalyptic number.

211611146440 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 211611146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254581963200).

211611146440 is an abundant number, since it is smaller than the sum of its proper divisors (297552779960).

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

211611146440 is a wasteful number, since it uses less digits than its factorization.

211611146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 211611146440 in words is "two hundred eleven billion, six hundred eleven million, one hundred forty-six thousand, four hundred forty".