442652221440 has 1344 divisors, whose sum is σ = 1875469220352. Its totient is φ = 98736537600.

The previous prime is 442652221409. The next prime is 442652221447. The reversal of 442652221440 is 44122256244.

442652221440 is a `hidden beast` number, since 4 + 426 + 5 + 2 + 221 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 442652221395 and 442652221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442652221447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1423318885 + ... + 1423319195.

It is an arithmetic number, because the mean of its divisors is an integer number (1395438408).

Almost surely, 2^442652221440 is an apocalyptic number.

442652221440 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 442652221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937734610176).

442652221440 is an abundant number, since it is smaller than the sum of its proper divisors (1432816998912).

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

442652221440 is a wasteful number, since it uses less digits than its factorization.

442652221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 442652221440 its reverse (44122256244), we get a palindrome (486774477684).

The spelling of 442652221440 in words is "four hundred forty-two billion, six hundred fifty-two million, two hundred twenty-one thousand, four hundred forty".