4042400201301 has 128 divisors (see below), whose sum is σ = 7057659248640. Its totient is φ = 1997153625600.

The previous prime is 4042400201297. The next prime is 4042400201353. The reversal of 4042400201301 is 1031020042404.

It is not a de Polignac number, because 4042400201301 - 2² = 4042400201297 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042400201401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212983830 + ... + 213002808.

It is an arithmetic number, because the mean of its divisors is an integer number (55137962880).

Almost surely, 2^{4042400201301} is an apocalyptic number.

4042400201301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4042400201301 is a deficient number, since it is larger than the sum of its proper divisors (3015259047339).

4042400201301 is a wasteful number, since it uses less digits than its factorization.

4042400201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19607.

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

Adding to 4042400201301 its reverse (1031020042404), we get a palindrome (5073420243705).

The spelling of 4042400201301 in words is "four trillion, forty-two billion, four hundred million, two hundred one thousand, three hundred one".