414525525414 has 128 divisors (see below), whose sum is σ = 1139018969088. Its totient is φ = 97075359360.

The previous prime is 414525525409. The next prime is 414525525439.

414525525414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414525525414² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544284 + ... + 1060799.

It is an arithmetic number, because the mean of its divisors is an integer number (8898585696).

Almost surely, 2^414525525414 is an apocalyptic number.

414525525414 is an abundant number, since it is smaller than the sum of its proper divisors (724493443674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414525525414 is a wasteful number, since it uses less digits than its factorization.

414525525414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605162.

The product of its digits is 640000, while the sum is 42.

It can be divided in two parts, 414525 and 525414, that added together give a palindrome (939939).

The spelling of 414525525414 in words is "four hundred fourteen billion, five hundred twenty-five million, five hundred twenty-five thousand, four hundred fourteen".