1822436532840 has 256 divisors, whose sum is σ = 6824839680000. Its totient is φ = 378218465280.

The previous prime is 1822436532823. The next prime is 1822436532857. The reversal of 1822436532840 is 482356342281.

It is an interprime number because it is at equal distance from previous prime (1822436532823) and next prime (1822436532857).

It is a super-3 number, since 3×1822436532840³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1822436532840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7353261 + ... + 7597059.

It is an arithmetic number, because the mean of its divisors is an integer number (26659530000).

Almost surely, 2^{1822436532840} is an apocalyptic number.

1822436532840 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 1822436532840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412419840000).

1822436532840 is an abundant number, since it is smaller than the sum of its proper divisors (5002403147160).

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

1822436532840 is a wasteful number, since it uses less digits than its factorization.

1822436532840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244640 (or 244636 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 1822436532840 in words is "one trillion, eight hundred twenty-two billion, four hundred thirty-six million, five hundred thirty-two thousand, eight hundred forty".