442740003552 has 288 divisors, whose sum is σ = 1608003581184. Its totient is φ = 112192358400.

The previous prime is 442740003529. The next prime is 442740003553. The reversal of 442740003552 is 255300047244.

442740003552 is a `hidden beast` number, since 44 + 27 + 40 + 0 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442740003553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665743 + ... + 1152689.

It is an arithmetic number, because the mean of its divisors is an integer number (5583345768).

Almost surely, 2^442740003552 is an apocalyptic number.

442740003552 is a gapful number since it is divisible by the number (42) 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 442740003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804001790592).

442740003552 is an abundant number, since it is smaller than the sum of its proper divisors (1165263577632).

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

442740003552 is a wasteful number, since it uses less digits than its factorization.

442740003552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487022 (or 487011 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 442740003552 in words is "four hundred forty-two billion, seven hundred forty million, three thousand, five hundred fifty-two".