442121330400431 has 16 divisors (see below), whose sum is σ = 482990346115200. Its totient is φ = 401365357034400.

The previous prime is 442121330400367. The next prime is 442121330400523. The reversal of 442121330400431 is 134004033121244.

It is not a de Polignac number, because 442121330400431 - 2⁶ = 442121330400367 is a prime.

It is a super-2 number, since 2×442121330400431² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442121330400331) 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, 16738580 + ... + 34123638.

It is an arithmetic number, because the mean of its divisors is an integer number (30186896632200).

Almost surely, 2^{442121330400431} is an apocalyptic number.

442121330400431 is a deficient number, since it is larger than the sum of its proper divisors (40869015714769).

442121330400431 is a wasteful number, since it uses less digits than its factorization.

442121330400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388310.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 442121330400431 its reverse (134004033121244), we get a palindrome (576125363521675).

The spelling of 442121330400431 in words is "four hundred forty-two trillion, one hundred twenty-one billion, three hundred thirty million, four hundred thousand, four hundred thirty-one".