4094211937536 has 1440 divisors, whose sum is σ = 15004719475200. Its totient is φ = 1099299962880.

The previous prime is 4094211937441. The next prime is 4094211937577. The reversal of 4094211937536 is 6357391124904.

4094211937536 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 2 + 11 + 93 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22619955366 + ... + 22619955546.

It is an arithmetic number, because the mean of its divisors is an integer number (10419944080).

Almost surely, 2^{4094211937536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4094211937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502359737600).

4094211937536 is an abundant number, since it is smaller than the sum of its proper divisors (10910507537664).

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

4094211937536 is an equidigital number, since it uses as much as digits as its factorization.

4094211937536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4094211937536 in words is "four trillion, ninety-four billion, two hundred eleven million, nine hundred thirty-seven thousand, five hundred thirty-six".