442014649920 has 896 divisors, whose sum is σ = 1750337164800. Its totient is φ = 104457830400.

The previous prime is 442014649889. The next prime is 442014649943. The reversal of 442014649920 is 29946410244.

442014649920 is a `hidden beast` number, since 442 + 0 + 146 + 49 + 9 + 20 = 666.

It is a super-3 number, since 3×442014649920³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174639055 + ... + 174641585.

It is an arithmetic number, because the mean of its divisors is an integer number (1953501300).

Almost surely, 2^442014649920 is an apocalyptic number.

442014649920 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 442014649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875168582400).

442014649920 is an abundant number, since it is smaller than the sum of its proper divisors (1308322514880).

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

442014649920 is a wasteful number, since it uses less digits than its factorization.

442014649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 442014649920 in words is "four hundred forty-two billion, fourteen million, six hundred forty-nine thousand, nine hundred twenty".