212405581440 has 1152 divisors, whose sum is σ = 849108873600. Its totient is φ = 48793485312.

The previous prime is 212405581379. The next prime is 212405581441. The reversal of 212405581440 is 44185504212.

212405581440 is a `hidden beast` number, since 2 + 12 + 40 + 558 + 14 + 40 = 666.

212405581440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×212405581440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212405581395 and 212405581404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212405581441) 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 143 ways as a sum of consecutive naturals, for example, 1186623271 + ... + 1186623449.

It is an arithmetic number, because the mean of its divisors is an integer number (737073675).

Almost surely, 2^212405581440 is an apocalyptic number.

212405581440 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 212405581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424554436800).

212405581440 is an abundant number, since it is smaller than the sum of its proper divisors (636703292160).

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

212405581440 is a wasteful number, since it uses less digits than its factorization.

212405581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 212405581440 in words is "two hundred twelve billion, four hundred five million, five hundred eighty-one thousand, four hundred forty".