94006241280 has 1008 divisors, whose sum is σ = 394929777060. Its totient is φ = 21403533312.

The previous prime is 94006241237. The next prime is 94006241281. The reversal of 94006241280 is 8214260049.

94006241280 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 624 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87824507904 + 6181733376 = 296352^2 + 78624^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (94006241281) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365782912 + ... + 365783168.

Almost surely, 2^94006241280 is an apocalyptic number.

94006241280 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 94006241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197464888530).

94006241280 is an abundant number, since it is smaller than the sum of its proper divisors (300923535780).

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

94006241280 is an equidigital number, since it uses as much as digits as its factorization.

94006241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 94006241280 in words is "ninety-four billion, six million, two hundred forty-one thousand, two hundred eighty".