42446813094000 has 480 divisors, whose sum is σ = 170724944332800. Its totient is φ = 9628062912000.

The previous prime is 42446813093941. The next prime is 42446813094013. The reversal of 42446813094000 is 49031864424.

42446813094000 is a `hidden beast` number, since 4 + 244 + 68 + 1 + 309 + 40 + 0 + 0 = 666.

42446813094000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42446813094000³ (a number of 42 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 15220201 + ... + 17791799.

It is an arithmetic number, because the mean of its divisors is an integer number (355676967360).

Almost surely, 2^{42446813094000} is an apocalyptic number.

42446813094000 is a gapful number since it is divisible by the number (40) 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 42446813094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85362472166400).

42446813094000 is an abundant number, since it is smaller than the sum of its proper divisors (128278131238800).

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

42446813094000 is a wasteful number, since it uses less digits than its factorization.

42446813094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571766 (or 2571747 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 4244681 and 3094000, that added together give a square (7338681 = 2709²).

The spelling of 42446813094000 in words is "forty-two trillion, four hundred forty-six billion, eight hundred thirteen million, ninety-four thousand".