918094217040 has 1920 divisors, whose sum is σ = 4328980070400. Its totient is φ = 173644922880.

The previous prime is 918094217011. The next prime is 918094217057. The reversal of 918094217040 is 40712490819.

It is a happy number.

918094217040 is a `hidden beast` number, since 9 + 180 + 9 + 421 + 7 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2501618937 + ... + 2501619303.

It is an arithmetic number, because the mean of its divisors is an integer number (2254677120).

Almost surely, 2^918094217040 is an apocalyptic number.

918094217040 is a gapful number since it is divisible by the number (90) 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 918094217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164490035200).

918094217040 is an abundant number, since it is smaller than the sum of its proper divisors (3410885853360).

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

918094217040 is a wasteful number, since it uses less digits than its factorization.

918094217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 918094217040 in words is "nine hundred eighteen billion, ninety-four million, two hundred seventeen thousand, forty".