442443314043400 has 96 divisors (see below), whose sum is σ = 1029456298470600. Its totient is φ = 176843903846400.

The previous prime is 442443314043389. The next prime is 442443314043421. The reversal of 442443314043400 is 4340413344244.

It can be written as a sum of positive squares in 12 ways, for example, as 881259072516 + 441562054970884 = 938754^2 + 21013378^2 .

It is a super-2 number, since 2×442443314043400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7854041634 + ... + 7854097966.

Almost surely, 2^{442443314043400} is an apocalyptic number.

442443314043400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442443314043400 is an abundant number, since it is smaller than the sum of its proper divisors (587012984427200).

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

442443314043400 is a wasteful number, since it uses less digits than its factorization.

442443314043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85259 (or 85250 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 442443314043400 its reverse (4340413344244), we get a palindrome (446783727387644).

The spelling of 442443314043400 in words is "four hundred forty-two trillion, four hundred forty-three billion, three hundred fourteen million, forty-three thousand, four hundred".