212401405440 has 1920 divisors, whose sum is σ = 964795392000. Its totient is φ = 44219105280.

The previous prime is 212401405421. The next prime is 212401405453. The reversal of 212401405440 is 44504104212.

212401405440 is a `hidden beast` number, since 212 + 4 + 0 + 1 + 4 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×212401405440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6851658225 + ... + 6851658255.

It is an arithmetic number, because the mean of its divisors is an integer number (502497600).

Almost surely, 2^212401405440 is an apocalyptic number.

212401405440 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 212401405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482397696000).

212401405440 is an abundant number, since it is smaller than the sum of its proper divisors (752393986560).

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

212401405440 is an equidigital number, since it uses as much as digits as its factorization.

212401405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 212401405440 its reverse (44504104212), we get a palindrome (256905509652).

The spelling of 212401405440 in words is "two hundred twelve billion, four hundred one million, four hundred five thousand, four hundred forty".