826356342420 has 192 divisors, whose sum is σ = 2950989350400. Its totient is φ = 188056442880.

The previous prime is 826356342403. The next prime is 826356342457. The reversal of 826356342420 is 24243653628.

826356342420 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 5 + 634 + 2 + 4 + 2 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388300 + ... + 1342940.

It is an arithmetic number, because the mean of its divisors is an integer number (15369736200).

Almost surely, 2^826356342420 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 826356342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475494675200).

826356342420 is an abundant number, since it is smaller than the sum of its proper divisors (2124633007980).

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

826356342420 is a wasteful number, since it uses less digits than its factorization.

826356342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954895 (or 954887 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 826356342420 in words is "eight hundred twenty-six billion, three hundred fifty-six million, three hundred forty-two thousand, four hundred twenty".