94880342442240 has 1728 divisors, whose sum is σ = 357601904352000. Its totient is φ = 23807417647104.

The previous prime is 94880342442239. The next prime is 94880342442299. The reversal of 94880342442240 is 4224424308849.

It is a happy number.

94880342442240 is a `hidden beast` number, since 9 + 48 + 80 + 3 + 42 + 442 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303132084324 + ... + 303132084636.

It is an arithmetic number, because the mean of its divisors is an integer number (206945546500).

Almost surely, 2^{94880342442240} is an apocalyptic number.

94880342442240 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 94880342442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178800952176000).

94880342442240 is an abundant number, since it is smaller than the sum of its proper divisors (262721561909760).

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

94880342442240 is a wasteful number, since it uses less digits than its factorization.

94880342442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 94880342442240 in words is "ninety-four trillion, eight hundred eighty billion, three hundred forty-two million, four hundred forty-two thousand, two hundred forty".