10420414004031 has 16 divisors (see below), whose sum is σ = 14129554974720. Its totient is φ = 6829110852480.

The previous prime is 10420414003969. The next prime is 10420414004047. The reversal of 10420414004031 is 13040041402401.

It is not a de Polignac number, because 10420414004031 - 2⁷ = 10420414003903 is a prime.

It is a super-2 number, since 2×10420414004031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10420414003992 and 10420414004010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420414004081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15429666 + ... + 16090848.

It is an arithmetic number, because the mean of its divisors is an integer number (883097185920).

Almost surely, 2^{10420414004031} is an apocalyptic number.

10420414004031 is a deficient number, since it is larger than the sum of its proper divisors (3709140970689).

10420414004031 is an equidigital number, since it uses as much as digits as its factorization.

10420414004031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750286.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10420414004031 its reverse (13040041402401), we get a palindrome (23460455406432).

The spelling of 10420414004031 in words is "ten trillion, four hundred twenty billion, four hundred fourteen million, four thousand, thirty-one".