42441300314424 has 48 divisors (see below), whose sum is σ = 125394750931320. Its totient is φ = 12861000095040.

The previous prime is 42441300314411. The next prime is 42441300314449.

42441300314424 is a `hidden beast` number, since 42 + 44 + 130 + 0 + 3 + 1 + 442 + 4 = 666.

42441300314424 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26793749407 + ... + 26793750990.

Almost surely, 2^{42441300314424} is an apocalyptic number.

42441300314424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42441300314424 is an abundant number, since it is smaller than the sum of its proper divisors (82953450616896).

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

42441300314424 is a wasteful number, since it uses less digits than its factorization.

42441300314424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53587500420 (or 53587500413 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42441300 and 314424, that added together give a palindrome (42755724).

The spelling of 42441300314424 in words is "forty-two trillion, four hundred forty-one billion, three hundred million, three hundred fourteen thousand, four hundred twenty-four".