42401000010424 has 64 divisors (see below), whose sum is σ = 93236445273600. Its totient is φ = 17870318611200.

The previous prime is 42401000010407. The next prime is 42401000010437.

42401000010424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42401000010395 and 42401000010404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 269702797 + ... + 269859964.

It is an arithmetic number, because the mean of its divisors is an integer number (1456819457400).

Almost surely, 2^{42401000010424} is an apocalyptic number.

42401000010424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42401000010424 is an abundant number, since it is smaller than the sum of its proper divisors (50835445263176).

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

42401000010424 is a wasteful number, since it uses less digits than its factorization.

42401000010424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539562844 (or 539562840 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 424010000 and 10424, that added together give a palindrome (424020424).

The spelling of 42401000010424 in words is "forty-two trillion, four hundred one billion, ten thousand, four hundred twenty-four".