905213982240 has 144 divisors (see below), whose sum is σ = 3188689410816. Its totient is φ = 233603596800.

The previous prime is 905213982199. The next prime is 905213982241. The reversal of 905213982240 is 42289312509.

905213982240 is a `hidden beast` number, since 9 + 0 + 521 + 3 + 9 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (905213982241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10094406 + ... + 10183685.

It is an arithmetic number, because the mean of its divisors is an integer number (22143676464).

Almost surely, 2^905213982240 is an apocalyptic number.

905213982240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

905213982240 is an abundant number, since it is smaller than the sum of its proper divisors (2283475428576).

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

905213982240 is a wasteful number, since it uses less digits than its factorization.

905213982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20278143 (or 20278132 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 905213982240 in words is "nine hundred five billion, two hundred thirteen million, nine hundred eighty-two thousand, two hundred forty".