884742484285440 has 3072 divisors, whose sum is σ = 3798709125120000. Its totient is φ = 192908899123200.

The previous prime is 884742484285423. The next prime is 884742484285447. The reversal of 884742484285440 is 44582484247488.

884742484285440 is a `hidden beast` number, since 8 + 8 + 4 + 7 + 4 + 24 + 84 + 2 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (884742484285447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94939633101 + ... + 94939642419.

It is an arithmetic number, because the mean of its divisors is an integer number (1236558960000).

Almost surely, 2^{884742484285440} is an apocalyptic number.

884742484285440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 884742484285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899354562560000).

884742484285440 is an abundant number, since it is smaller than the sum of its proper divisors (2913966640834560).

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

884742484285440 is a wasteful number, since it uses less digits than its factorization.

884742484285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 2348810240, while the sum is 72.

The spelling of 884742484285440 in words is "eight hundred eighty-four trillion, seven hundred forty-two billion, four hundred eighty-four million, two hundred eighty-five thousand, four hundred forty".