4093216001280 has 2160 divisors, whose sum is σ = 18725473831680. Its totient is φ = 833304526848.

The previous prime is 4093216001227. The next prime is 4093216001351. The reversal of 4093216001280 is 821006123904.

4093216001280 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 21 + 600 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4453988661 + ... + 4453989579.

It is an arithmetic number, because the mean of its divisors is an integer number (8669200848).

Almost surely, 2^{4093216001280} is an apocalyptic number.

4093216001280 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 4093216001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362736915840).

4093216001280 is an abundant number, since it is smaller than the sum of its proper divisors (14632257830400).

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

4093216001280 is a wasteful number, since it uses less digits than its factorization.

4093216001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4093216001280 in words is "four trillion, ninety-three billion, two hundred sixteen million, one thousand, two hundred eighty".