821054902343940 has 576 divisors, whose sum is σ = 2850621432422400. Its totient is φ = 189446559052800.

The previous prime is 821054902343881. The next prime is 821054902343957. The reversal of 821054902343940 is 49343209450128.

It is a happy number.

821054902343940 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 5 + 490 + 23 + 43 + 94 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55766813419 + ... + 55766828141.

It is an arithmetic number, because the mean of its divisors is an integer number (4948995542400).

Almost surely, 2^{821054902343940} 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 821054902343940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425310716211200).

821054902343940 is an abundant number, since it is smaller than the sum of its proper divisors (2029566530078460).

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

821054902343940 is a wasteful number, since it uses less digits than its factorization.

821054902343940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28528 (or 28523 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 821054902343940 in words is "eight hundred twenty-one trillion, fifty-four billion, nine hundred two million, three hundred forty-three thousand, nine hundred forty".