442060464000 has 128 divisors (see below), whose sum is σ = 1465430597280. Its totient is φ = 117882777600.

The previous prime is 442060463993. The next prime is 442060464007. The reversal of 442060464000 is 464060244.

It is an interprime number because it is at equal distance from previous prime (442060463993) and next prime (442060464007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442060464007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4556797 + ... + 4652796.

Almost surely, 2^442060464000 is an apocalyptic number.

442060464000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442060464000 is an abundant number, since it is smaller than the sum of its proper divisors (1023370133280).

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

442060464000 is an equidigital number, since it uses as much as digits as its factorization.

442060464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209625 (or 9209603 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 442060464000 in words is "four hundred forty-two billion, sixty million, four hundred sixty-four thousand".