211551225413440 has 448 divisors, whose sum is σ = 587300252636160. Its totient is φ = 71767906467840.

The previous prime is 211551225413431. The next prime is 211551225413441. The reversal of 211551225413440 is 44314522155112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 211551225413393 and 211551225413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211551225413441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19254679627 + ... + 19254690613.

It is an arithmetic number, because the mean of its divisors is an integer number (1310938063920).

Almost surely, 2^{211551225413440} is an apocalyptic number.

211551225413440 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 211551225413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293650126318080).

211551225413440 is an abundant number, since it is smaller than the sum of its proper divisors (375749027222720).

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

211551225413440 is a wasteful number, since it uses less digits than its factorization.

211551225413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15398 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

Adding to 211551225413440 its reverse (44314522155112), we get a palindrome (255865747568552).

The spelling of 211551225413440 in words is "two hundred eleven trillion, five hundred fifty-one billion, two hundred twenty-five million, four hundred thirteen thousand, four hundred forty".