442620277864128 has 5376 divisors, whose sum is σ = 1927188012072960. Its totient is φ = 93650013388800.

The previous prime is 442620277864117. The next prime is 442620277864183. The reversal of 442620277864128 is 821468772026244.

442620277864128 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 202 + 7 + 7 + 8 + 6 + 412 + 8 = 666.

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

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 767 ways as a sum of consecutive naturals, for example, 446640037713 + ... + 446640038703.

It is an arithmetic number, because the mean of its divisors is an integer number (358479912960).

Almost surely, 2^{442620277864128} is an apocalyptic number.

442620277864128 is a gapful number since it is divisible by the number (48) 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 442620277864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963594006036480).

442620277864128 is an abundant number, since it is smaller than the sum of its proper divisors (1484567734208832).

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

442620277864128 is a wasteful number, since it uses less digits than its factorization.

442620277864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 442620277864128 in words is "four hundred forty-two trillion, six hundred twenty billion, two hundred seventy-seven million, eight hundred sixty-four thousand, one hundred twenty-eight".