42120304401 has 48 divisors (see below), whose sum is σ = 66233438208. Its totient is φ = 23736736800.

The previous prime is 42120304357. The next prime is 42120304403. The reversal of 42120304401 is 10440302124.

It is not a de Polignac number, because 42120304401 - 2²¹ = 42118207249 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 (42120304403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7696096 + ... + 7701566.

It is an arithmetic number, because the mean of its divisors is an integer number (1379863296).

Almost surely, 2^42120304401 is an apocalyptic number.

It is an amenable number.

42120304401 is a deficient number, since it is larger than the sum of its proper divisors (24113133807).

42120304401 is a wasteful number, since it uses less digits than its factorization.

42120304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6195 counting only the distinct ones).

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

Adding to 42120304401 its reverse (10440302124), we get a palindrome (52560606525).

The spelling of 42120304401 in words is "forty-two billion, one hundred twenty million, three hundred four thousand, four hundred one".