4042401420321 has 48 divisors (see below), whose sum is σ = 6611414252800. Its totient is φ = 2439241374240.

The previous prime is 4042401420311. The next prime is 4042401420341. The reversal of 4042401420321 is 1230241042404.

4042401420321 is a `hidden beast` number, since 4 + 0 + 424 + 0 + 14 + 203 + 21 = 666.

It is not a de Polignac number, because 4042401420321 - 2¹⁸ = 4042401158177 is a prime.

It is a super-2 number, since 2×4042401420321² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042401420311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953481 + ... + 3449766.

Almost surely, 2^{4042401420321} is an apocalyptic number.

It is an amenable number.

4042401420321 is a deficient number, since it is larger than the sum of its proper divisors (2569012832479).

4042401420321 is a wasteful number, since it uses less digits than its factorization.

4042401420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403507 (or 5403490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4042401420321 its reverse (1230241042404), we get a palindrome (5272642462725).

The spelling of 4042401420321 in words is "four trillion, forty-two billion, four hundred one million, four hundred twenty thousand, three hundred twenty-one".