42014414401 has 8 divisors (see below), whose sum is σ = 42805900584. Its totient is φ = 41230291200.

The previous prime is 42014414389. The next prime is 42014414413. The reversal of 42014414401 is 10441441024.

It is an interprime number because it is at equal distance from previous prime (42014414389) and next prime (42014414413).

It can be written as a sum of positive squares in 4 ways, for example, as 13748735025 + 28265679376 = 117255^2 + 168124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42014414401 - 2¹³ = 42014406209 is a prime.

It is a super-2 number, since 2×42014414401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42014411401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829226 + ... + 1852051.

It is an arithmetic number, because the mean of its divisors is an integer number (5350737573).

Almost surely, 2^42014414401 is an apocalyptic number.

It is an amenable number.

42014414401 is a deficient number, since it is larger than the sum of its proper divisors (791486183).

42014414401 is a wasteful number, since it uses less digits than its factorization.

42014414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681491.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 42014414401 its reverse (10441441024), we get a palindrome (52455855425).

The spelling of 42014414401 in words is "forty-two billion, fourteen million, four hundred fourteen thousand, four hundred one".