820356249240 has 768 divisors, whose sum is σ = 3043612091520. Its totient is φ = 189882040320.

The previous prime is 820356249197. The next prime is 820356249257. The reversal of 820356249240 is 42942653028.

820356249240 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 562 + 49 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2799850534 + ... + 2799850826.

Almost surely, 2^820356249240 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 820356249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521806045760).

820356249240 is an abundant number, since it is smaller than the sum of its proper divisors (2223255842280).

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

820356249240 is a wasteful number, since it uses less digits than its factorization.

820356249240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 820356249240 in words is "eight hundred twenty billion, three hundred fifty-six million, two hundred forty-nine thousand, two hundred forty".