8204704129440 has 768 divisors, whose sum is σ = 35363016944640. Its totient is φ = 1730138849280.

The previous prime is 8204704129439. The next prime is 8204704129481. The reversal of 8204704129440 is 449214074028.

8204704129440 is a `hidden beast` number, since 82 + 0 + 4 + 7 + 0 + 4 + 129 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 873114822 + ... + 873124218.

It is an arithmetic number, because the mean of its divisors is an integer number (46045594980).

Almost surely, 2^{8204704129440} is an apocalyptic number.

8204704129440 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 8204704129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681508472320).

8204704129440 is an abundant number, since it is smaller than the sum of its proper divisors (27158312815200).

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

8204704129440 is a wasteful number, since it uses less digits than its factorization.

8204704129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8204704129440 in words is "eight trillion, two hundred four billion, seven hundred four million, one hundred twenty-nine thousand, four hundred forty".