840225967956 has 72 divisors (see below), whose sum is σ = 2159150092008. Its totient is φ = 275429376000.

The previous prime is 840225967943. The next prime is 840225967967. The reversal of 840225967956 is 659769522048.

840225967956 is a `hidden beast` number, since 8 + 402 + 25 + 96 + 79 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198144277956 + 642081690000 = 445134^2 + 801300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 840225967893 and 840225967902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11913276 + ... + 11983596.

Almost surely, 2^840225967956 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 840225967956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079575046004).

840225967956 is an abundant number, since it is smaller than the sum of its proper divisors (1318924124052).

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

840225967956 is a wasteful number, since it uses less digits than its factorization.

840225967956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75833 (or 75828 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 840225967956 in words is "eight hundred forty billion, two hundred twenty-five million, nine hundred sixty-seven thousand, nine hundred fifty-six".