414014024040 has 64 divisors (see below), whose sum is σ = 1315103376960. Its totient is φ = 103909401600.

The previous prime is 414014024009. The next prime is 414014024059. The reversal of 414014024040 is 40420410414.

It is a happy number.

It is a super-2 number, since 2×414014024040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414014024040.

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, 101471986 + ... + 101476065.

It is an arithmetic number, because the mean of its divisors is an integer number (20548490265).

Almost surely, 2^414014024040 is an apocalyptic number.

414014024040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414014024040 is an abundant number, since it is smaller than the sum of its proper divisors (901089352920).

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

414014024040 is a wasteful number, since it uses less digits than its factorization.

414014024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202948082 (or 202948078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 414014024040 its reverse (40420410414), we get a palindrome (454434434454).

The spelling of 414014024040 in words is "four hundred fourteen billion, fourteen million, twenty-four thousand, forty".