42334441003440 has 120 divisors (see below), whose sum is σ = 142258969926528. Its totient is φ = 11282370923520.

The previous prime is 42334441003363. The next prime is 42334441003469. The reversal of 42334441003440 is 4430014443324.

42334441003440 is a `hidden beast` number, since 4 + 233 + 4 + 4 + 410 + 0 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42334441003395 and 42334441003404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16549216 + ... + 18935295.

Almost surely, 2^{42334441003440} is an apocalyptic number.

42334441003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334441003440 is an abundant number, since it is smaller than the sum of its proper divisors (99924528923088).

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

42334441003440 is a wasteful number, since it uses less digits than its factorization.

42334441003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486187 (or 35486178 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42334441003440 its reverse (4430014443324), we get a palindrome (46764455446764).

The spelling of 42334441003440 in words is "forty-two trillion, three hundred thirty-four billion, four hundred forty-one million, three thousand, four hundred forty".