442421244421240 has 128 divisors (see below), whose sum is σ = 1149691188159360. Its totient is φ = 150083247734784.

The previous prime is 442421244421237. The next prime is 442421244421249. The reversal of 442421244421240 is 42124442124244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 442421244421193 and 442421244421202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421244421249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99206464 + ... + 103570096.

It is an arithmetic number, because the mean of its divisors is an integer number (8981962407495).

Almost surely, 2^{442421244421240} is an apocalyptic number.

442421244421240 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 442421244421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574845594079680).

442421244421240 is an abundant number, since it is smaller than the sum of its proper divisors (707269943738120).

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

442421244421240 is a wasteful number, since it uses less digits than its factorization.

442421244421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367481 (or 4367477 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 442421244421240 its reverse (42124442124244), we get a palindrome (484545686545484).

The spelling of 442421244421240 in words is "four hundred forty-two trillion, four hundred twenty-one billion, two hundred forty-four million, four hundred twenty-one thousand, two hundred forty".