8404280640000 has 2400 divisors, whose sum is σ = 37511121098880. Its totient is φ = 1767702528000.

The previous prime is 8404280639983. The next prime is 8404280640017. The reversal of 8404280640000 is 460824048.

8404280640000 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 2 + 8 + 0 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8404280639983) and next prime (8404280640017).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14172479704 + ... + 14172480296.

Almost surely, 2^{8404280640000} is an apocalyptic number.

8404280640000 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 8404280640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755560549440).

8404280640000 is an abundant number, since it is smaller than the sum of its proper divisors (29106840458880).

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

8404280640000 is a wasteful number, since it uses less digits than its factorization.

8404280640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 8404280640000 in words is "eight trillion, four hundred four billion, two hundred eighty million, six hundred forty thousand".