8280406417920 has 720 divisors, whose sum is σ = 33344468942400. Its totient is φ = 1747061342208.

The previous prime is 8280406417903. The next prime is 8280406417967. The reversal of 8280406417920 is 297146040828.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63532981 + ... + 63663179.

It is an arithmetic number, because the mean of its divisors is an integer number (46311762420).

Almost surely, 2^{8280406417920} is an apocalyptic number.

8280406417920 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 8280406417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672234471200).

8280406417920 is an abundant number, since it is smaller than the sum of its proper divisors (25064062524480).

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

8280406417920 is a wasteful number, since it uses less digits than its factorization.

8280406417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130265 (or 130229 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 8280406417920 in words is "eight trillion, two hundred eighty billion, four hundred six million, four hundred seventeen thousand, nine hundred twenty".