212883841440 has 384 divisors, whose sum is σ = 763391139840. Its totient is φ = 55390003200.

The previous prime is 212883841427. The next prime is 212883841441. The reversal of 212883841440 is 44148388212.

212883841440 is a `hidden beast` number, since 2 + 128 + 8 + 3 + 84 + 1 + 440 = 666.

It is a super-2 number, since 2×212883841440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212883841441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33463860 + ... + 33470220.

It is an arithmetic number, because the mean of its divisors is an integer number (1987997760).

Almost surely, 2^212883841440 is an apocalyptic number.

212883841440 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 212883841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381695569920).

212883841440 is an abundant number, since it is smaller than the sum of its proper divisors (550507298400).

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

212883841440 is a wasteful number, since it uses less digits than its factorization.

212883841440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 212883841440 in words is "two hundred twelve billion, eight hundred eighty-three million, eight hundred forty-one thousand, four hundred forty".