442120431500235 has 32 divisors (see below), whose sum is σ = 791197122485760. Its totient is φ = 234235990188000.

The previous prime is 442120431500221. The next prime is 442120431500239. The reversal of 442120431500235 is 532005134021244.

It is a happy number.

442120431500235 is a `hidden beast` number, since 4 + 4 + 2 + 120 + 4 + 3 + 1 + 500 + 23 + 5 = 666.

It is not a de Polignac number, because 442120431500235 - 2¹⁸ = 442120431238091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442120431500235.

It is not an unprimeable number, because it can be changed into a prime (442120431500239) 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, 10844238421 + ... + 10844279190.

It is an arithmetic number, because the mean of its divisors is an integer number (24724910077680).

Almost surely, 2^{442120431500235} is an apocalyptic number.

442120431500235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442120431500235 is a deficient number, since it is larger than the sum of its proper divisors (349076690985525).

442120431500235 is a wasteful number, since it uses less digits than its factorization.

442120431500235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21688517776 (or 21688517770 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 442120431500235 its reverse (532005134021244), we get a palindrome (974125565521479).

The spelling of 442120431500235 in words is "four hundred forty-two trillion, one hundred twenty billion, four hundred thirty-one million, five hundred thousand, two hundred thirty-five".