442421311101440 has 160 divisors (see below), whose sum is σ = 1197111976536960. Its totient is φ = 155332873830400.

The previous prime is 442421311101401. The next prime is 442421311101443. The reversal of 442421311101440 is 44101113124244.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 442421311101397 and 442421311101406.

It is not an unprimeable number, because it can be changed into a prime (442421311101443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270062396 + ... + 271695675.

It is an arithmetic number, because the mean of its divisors is an integer number (7481949853356).

Almost surely, 2^{442421311101440} is an apocalyptic number.

442421311101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421311101440 is an abundant number, since it is smaller than the sum of its proper divisors (754690665435520).

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

442421311101440 is a wasteful number, since it uses less digits than its factorization.

442421311101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541758134 (or 541758118 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 442421311101440 its reverse (44101113124244), we get a palindrome (486522424225684).

The spelling of 442421311101440 in words is "four hundred forty-two trillion, four hundred twenty-one billion, three hundred eleven million, one hundred one thousand, four hundred forty".