211003448040 has 640 divisors, whose sum is σ = 912761118720. Its totient is φ = 42428966400.

The previous prime is 211003448017. The next prime is 211003448081. The reversal of 211003448040 is 40844300112.

211003448040 is a `hidden beast` number, since 2 + 110 + 0 + 34 + 480 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211003447995 and 211003448013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7720239 + ... + 7747521.

It is an arithmetic number, because the mean of its divisors is an integer number (1426189248).

Almost surely, 2^211003448040 is an apocalyptic number.

211003448040 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 211003448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456380559360).

211003448040 is an abundant number, since it is smaller than the sum of its proper divisors (701757670680).

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

211003448040 is a wasteful number, since it uses less digits than its factorization.

211003448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27355 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211003448040 its reverse (40844300112), we get a palindrome (251847748152).

The spelling of 211003448040 in words is "two hundred eleven billion, three million, four hundred forty-eight thousand, forty".