820133081040 has 640 divisors, whose sum is σ = 3245936246784. Its totient is φ = 166634496000.

The previous prime is 820133081003. The next prime is 820133081041. The reversal of 820133081040 is 40180331028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 820133080989 and 820133081007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820133081041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142852570 + ... + 142858310.

Almost surely, 2^820133081040 is an apocalyptic number.

820133081040 is a gapful number since it is divisible by the number (80) 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 820133081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622968123392).

820133081040 is an abundant number, since it is smaller than the sum of its proper divisors (2425803165744).

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

820133081040 is a wasteful number, since it uses less digits than its factorization.

820133081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 820133081040 in words is "eight hundred twenty billion, one hundred thirty-three million, eighty-one thousand, forty".