414145134440 has 64 divisors (see below), whose sum is σ = 961841200320. Its totient is φ = 160383808000.

The previous prime is 414145134409. The next prime is 414145134463. The reversal of 414145134440 is 44431541414.

It is a happy number.

It is a super-2 number, since 2×414145134440² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414145134440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749006 + ... + 1178685.

It is an arithmetic number, because the mean of its divisors is an integer number (15028768755).

Almost surely, 2^414145134440 is an apocalyptic number.

414145134440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414145134440 is an abundant number, since it is smaller than the sum of its proper divisors (547696065880).

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

414145134440 is a wasteful number, since it uses less digits than its factorization.

414145134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927874 (or 1927870 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 414145134440 its reverse (44431541414), we get a palindrome (458576675854).

The spelling of 414145134440 in words is "four hundred fourteen billion, one hundred forty-five million, one hundred thirty-four thousand, four hundred forty".