820154422440 has 448 divisors, whose sum is σ = 2795376355200. Its totient is φ = 216460325376.

The previous prime is 820154422433. The next prime is 820154422457. The reversal of 820154422440 is 44224451028.

820154422440 is a `hidden beast` number, since 8 + 20 + 154 + 42 + 2 + 440 = 666.

820154422440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 820154422395 and 820154422404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1756219087 + ... + 1756219553.

Almost surely, 2^820154422440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820154422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397688177600).

820154422440 is an abundant number, since it is smaller than the sum of its proper divisors (1975221932760).

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

820154422440 is a wasteful number, since it uses less digits than its factorization.

820154422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 820154422440 its reverse (44224451028), we get a palindrome (864378873468).

The spelling of 820154422440 in words is "eight hundred twenty billion, one hundred fifty-four million, four hundred twenty-two thousand, four hundred forty".