414120134440 has 16 divisors (see below), whose sum is σ = 931770302580. Its totient is φ = 165648053760.

The previous prime is 414120134437. The next prime is 414120134503. The reversal of 414120134440 is 44431021414.

It can be written as a sum of positive squares in 2 ways, for example, as 370946774916 + 43173359524 = 609054^2 + 207782^2 .

It is a super-2 number, since 2×414120134440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414120134399 and 414120134408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5176501641 + ... + 5176501720.

Almost surely, 2^414120134440 is an apocalyptic number.

414120134440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414120134440 is an abundant number, since it is smaller than the sum of its proper divisors (517650168140).

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

414120134440 is a wasteful number, since it uses less digits than its factorization.

414120134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353003372 (or 10353003368 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414120134440 its reverse (44431021414), we get a palindrome (458551155854).

The spelling of 414120134440 in words is "four hundred fourteen billion, one hundred twenty million, one hundred thirty-four thousand, four hundred forty".