1822141440 has 528 divisors, whose sum is σ = 7560799200. Its totient is φ = 414941184.

The previous prime is 1822141381. The next prime is 1822141441. The reversal of 1822141440 is 441412281.

1822141440 is a `hidden beast` number, since 1 + 8 + 2 + 214 + 1 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1822141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773626 + ... + 6773894.

Almost surely, 2^1822141440 is an apocalyptic number.

1822141440 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 1822141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780399600).

1822141440 is an abundant number, since it is smaller than the sum of its proper divisors (5738657760).

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

1822141440 is a wasteful number, since it uses less digits than its factorization.

1822141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1822141440 is about 42686.5487009667. The cubic root of 1822141440 is about 1221.4078167339.

The spelling of 1822141440 in words is "one billion, eight hundred twenty-two million, one hundred forty-one thousand, four hundred forty".