442031213040 has 80 divisors (see below), whose sum is σ = 1370586458400. Its totient is φ = 117850070016.

The previous prime is 442031213021. The next prime is 442031213083. The reversal of 442031213040 is 40312130244.

442031213040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×442031213040³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442031213040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957066 + ... + 1341654.

It is an arithmetic number, because the mean of its divisors is an integer number (17132330730).

Almost surely, 2^442031213040 is an apocalyptic number.

442031213040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442031213040 is an abundant number, since it is smaller than the sum of its proper divisors (928555245360).

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

442031213040 is a wasteful number, since it uses less digits than its factorization.

442031213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389394 (or 389388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 442031213040 its reverse (40312130244), we get a palindrome (482343343284).

The spelling of 442031213040 in words is "four hundred forty-two billion, thirty-one million, two hundred thirteen thousand, forty".