8661428469408 has 1152 divisors, whose sum is σ = 29621152382976. Its totient is φ = 2189143756800.

The previous prime is 8661428469401. The next prime is 8661428469521. The reversal of 8661428469408 is 8049648241668.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (8661428469401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5471526985 + ... + 5471528567.

It is an arithmetic number, because the mean of its divisors is an integer number (25712805888).

Almost surely, 2^{8661428469408} is an apocalyptic number.

8661428469408 is a gapful number since it is divisible by the number (88) 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 8661428469408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810576191488).

8661428469408 is an abundant number, since it is smaller than the sum of its proper divisors (20959723913568).

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

8661428469408 is a wasteful number, since it uses less digits than its factorization.

8661428469408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 8661428469408 in words is "eight trillion, six hundred sixty-one billion, four hundred twenty-eight million, four hundred sixty-nine thousand, four hundred eight".