4042401321 has 64 divisors (see below), whose sum is σ = 6768852480. Its totient is φ = 2092339200.

The previous prime is 4042401277. The next prime is 4042401331. The reversal of 4042401321 is 1231042404.

It is not a de Polignac number, because 4042401321 - 2¹⁴ = 4042384937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4042401331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5766271 + ... + 5766971.

It is an arithmetic number, because the mean of its divisors is an integer number (105763320).

Almost surely, 2^4042401321 is an apocalyptic number.

It is an amenable number.

4042401321 is a deficient number, since it is larger than the sum of its proper divisors (2726451159).

4042401321 is a wasteful number, since it uses less digits than its factorization.

4042401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4042401321 is about 63579.8814170017. The cubic root of 4042401321 is about 1592.9903406071.

Adding to 4042401321 its reverse (1231042404), we get a palindrome (5273443725).

The spelling of 4042401321 in words is "four billion, forty-two million, four hundred one thousand, three hundred twenty-one".