42401355310424 has 64 divisors (see below), whose sum is σ = 91443717504000. Its totient is φ = 18229170165120.

The previous prime is 42401355310423. The next prime is 42401355310427.

42401355310424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401355310423) 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, 19659944 + ... + 21709815.

It is an arithmetic number, because the mean of its divisors is an integer number (1428808086000).

Almost surely, 2^{42401355310424} is an apocalyptic number.

42401355310424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42401355310424 is an abundant number, since it is smaller than the sum of its proper divisors (49042362193576).

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

42401355310424 is a wasteful number, since it uses less digits than its factorization.

42401355310424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41370408 (or 41370404 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4240135 and 5310424, that added together give a palindrome (9550559).

The spelling of 42401355310424 in words is "forty-two trillion, four hundred one billion, three hundred fifty-five million, three hundred ten thousand, four hundred twenty-four".