414400434014445 has 32 divisors (see below), whose sum is σ = 702559676282880. Its totient is φ = 207994640961600.

The previous prime is 414400434014363. The next prime is 414400434014513. The reversal of 414400434014445 is 544410434004414.

It is not a de Polignac number, because 414400434014445 - 2⁷ = 414400434014317 is a prime.

It is a super-2 number, since 2×414400434014445² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414400434014397 and 414400434014406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4814647729 + ... + 4814733798.

It is an arithmetic number, because the mean of its divisors is an integer number (21954989883840).

Almost surely, 2^{414400434014445} is an apocalyptic number.

It is an amenable number.

414400434014445 is a deficient number, since it is larger than the sum of its proper divisors (288159242268435).

414400434014445 is a wasteful number, since it uses less digits than its factorization.

414400434014445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629381705.

The product of its (nonzero) digits is 983040, while the sum is 42.

Adding to 414400434014445 its reverse (544410434004414), we get a palindrome (958810868018859).

The spelling of 414400434014445 in words is "four hundred fourteen trillion, four hundred billion, four hundred thirty-four million, fourteen thousand, four hundred forty-five".