4042401401407 has 2 divisors, whose sum is σ = 4042401401408. Its totient is φ = 4042401401406.

The previous prime is 4042401401383. The next prime is 4042401401419. The reversal of 4042401401407 is 7041041042404.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4042401401407 - 2³⁵ = 4008041663039 is a prime.

It is a super-3 number, since 3×4042401401407³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042401401477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021200700703 + 2021200700704.

It is an arithmetic number, because the mean of its divisors is an integer number (2021200700704).

Almost surely, 2^{4042401401407} is an apocalyptic number.

4042401401407 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042401401407 is an equidigital number, since it uses as much as digits as its factorization.

4042401401407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14336, while the sum is 31.

The spelling of 4042401401407 in words is "four trillion, forty-two billion, four hundred one million, four hundred one thousand, four hundred seven".