216294211040 has 48 divisors (see below), whose sum is σ = 515683143360. Its totient is φ = 85723937280.

The previous prime is 216294211009. The next prime is 216294211057. The reversal of 216294211040 is 40112492612.

216294211040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 216294210988 and 216294211006.

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 7 ways as a sum of consecutive naturals, for example, 6183656 + ... + 6218535.

It is an arithmetic number, because the mean of its divisors is an integer number (10743398820).

Almost surely, 2^216294211040 is an apocalyptic number.

216294211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216294211040 is an abundant number, since it is smaller than the sum of its proper divisors (299388932320).

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

216294211040 is a wasteful number, since it uses less digits than its factorization.

216294211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402315 (or 12402307 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 216294211040 in words is "two hundred sixteen billion, two hundred ninety-four million, two hundred eleven thousand, forty".