1822441213440 has 1680 divisors, whose sum is σ = 7249834373760. Its totient is φ = 438581329920.

The previous prime is 1822441213393. The next prime is 1822441213451. The reversal of 1822441213440 is 443121442281.

1822441213440 is a `hidden beast` number, since 1 + 8 + 224 + 412 + 13 + 4 + 4 + 0 = 666.

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 = 1822441213395 and 1822441213404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16719644106 + ... + 16719644214.

Almost surely, 2^{1822441213440} is an apocalyptic number.

1822441213440 is a gapful number since it is divisible by the number (10) 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 1822441213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624917186880).

1822441213440 is an abundant number, since it is smaller than the sum of its proper divisors (5427393160320).

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

1822441213440 is an equidigital number, since it uses as much as digits as its factorization.

1822441213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1822441213440 in words is "one trillion, eight hundred twenty-two billion, four hundred forty-one million, two hundred thirteen thousand, four hundred forty".