4016096225280 has 1296 divisors, whose sum is σ = 15243137631540. Its totient is φ = 1015330111488.

The previous prime is 4016096225237. The next prime is 4016096225291. The reversal of 4016096225280 is 825226906104.

4016096225280 is a `hidden beast` number, since 4 + 0 + 1 + 60 + 9 + 62 + 2 + 528 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3415458825216 + 600637400064 = 1848096^2 + 775008^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×4016096225280² (a number of 26 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 35540674504 + ... + 35540674616.

Almost surely, 2^{4016096225280} is an apocalyptic number.

4016096225280 is a gapful number since it is divisible by the number (40) 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 4016096225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621568815770).

4016096225280 is an abundant number, since it is smaller than the sum of its proper divisors (11227041406260).

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

4016096225280 is an frugal number, since it uses more digits than its factorization.

4016096225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4016096225280 in words is "four trillion, sixteen billion, ninety-six million, two hundred twenty-five thousand, two hundred eighty".