84061324058040 has 512 divisors, whose sum is σ = 339272043264000. Its totient is φ = 18073052356608.

The previous prime is 84061324058021. The next prime is 84061324058059. The reversal of 84061324058040 is 4085042316048.

84061324058040 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 1 + 3 + 24 + 0 + 580 + 40 = 666.

84061324058040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (84061324058021) and next prime (84061324058059).

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 127 ways as a sum of consecutive naturals, for example, 217391191 + ... + 217777529.

It is an arithmetic number, because the mean of its divisors is an integer number (662640709500).

Almost surely, 2^{84061324058040} 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 84061324058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169636021632000).

84061324058040 is an abundant number, since it is smaller than the sum of its proper divisors (255210719205960).

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

84061324058040 is a wasteful number, since it uses less digits than its factorization.

84061324058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388076 (or 388066 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84061324058040 in words is "eighty-four trillion, sixty-one billion, three hundred twenty-four million, fifty-eight thousand, forty".