442361084400 has 180 divisors, whose sum is σ = 1584636106560. Its totient is φ = 114157670400.

The previous prime is 442361084393. The next prime is 442361084411. The reversal of 442361084400 is 4480163244.

442361084400 is a `hidden beast` number, since 4 + 4 + 236 + 10 + 8 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×442361084400⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1870305 + ... + 2093504.

Almost surely, 2^442361084400 is an apocalyptic number.

442361084400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442361084400 is an abundant number, since it is smaller than the sum of its proper divisors (1142275022160).

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

442361084400 is a wasteful number, since it uses less digits than its factorization.

442361084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963864 (or 3963850 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 442361084400 in words is "four hundred forty-two billion, three hundred sixty-one million, eighty-four thousand, four hundred".