442196256176640 has 360 divisors, whose sum is σ = 1781482660909380. Its totient is φ = 101073429725184.

The previous prime is 442196256176627. The next prime is 442196256176641. The reversal of 442196256176640 is 46671652691244.

442196256176640 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 9 + 6 + 2 + 5 + 617 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425876853862656 + 16319402313984 = 20636784^2 + 4039728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (442196256176641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194713345 + ... + 196971264.

Almost surely, 2^{442196256176640} is an apocalyptic number.

442196256176640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442196256176640 is an abundant number, since it is smaller than the sum of its proper divisors (1339286404732740).

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

442196256176640 is a wasteful number, since it uses less digits than its factorization.

442196256176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391684652 (or 391684626 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 442196256176640 in words is "four hundred forty-two trillion, one hundred ninety-six billion, two hundred fifty-six million, one hundred seventy-six thousand, six hundred forty".