42404466440424 has 128 divisors (see below), whose sum is σ = 118787494970880. Its totient is φ = 12501143942400.

The previous prime is 42404466440393. The next prime is 42404466440449.

It is a happy number.

42404466440424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42404466440424³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88562127 + ... + 89039649.

It is an arithmetic number, because the mean of its divisors is an integer number (928027304460).

Almost surely, 2^{42404466440424} is an apocalyptic number.

42404466440424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404466440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59393747485440).

42404466440424 is an abundant number, since it is smaller than the sum of its proper divisors (76383028530456).

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

42404466440424 is a wasteful number, since it uses less digits than its factorization.

42404466440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486671 (or 486667 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

The spelling of 42404466440424 in words is "forty-two trillion, four hundred four billion, four hundred sixty-six million, four hundred forty thousand, four hundred twenty-four".