42400001 has 16 divisors (see below), whose sum is σ = 52771200. Its totient is φ = 33239808.

The previous prime is 42399983. The next prime is 42400009. The reversal of 42400001 is 10000424.

It is not a de Polignac number, because 42400001 - 2²² = 38205697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (3298200).

Almost surely, 2^42400001 is an apocalyptic number.

It is an amenable number.

42400001 is a deficient number, since it is larger than the sum of its proper divisors (10371199).

42400001 is a wasteful number, since it uses less digits than its factorization.

42400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42400001 is about 6511.5283152268. The cubic root of 42400001 is about 348.7026829944.

Adding to 42400001 its reverse (10000424), we get a palindrome (52400425).

The spelling of 42400001 in words is "forty-two million, four hundred thousand, one".