414101120240 has 20 divisors (see below), whose sum is σ = 962785104744. Its totient is φ = 165640448064.

The previous prime is 414101120197. The next prime is 414101120317. The reversal of 414101120240 is 42021101414.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 2588131922 + ... + 2588132081.

Almost surely, 2^414101120240 is an apocalyptic number.

414101120240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414101120240 is an abundant number, since it is smaller than the sum of its proper divisors (548683984504).

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

414101120240 is a wasteful number, since it uses less digits than its factorization.

414101120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176264016 (or 5176264010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 414101120240 its reverse (42021101414), we get a palindrome (456122221654).

The spelling of 414101120240 in words is "four hundred fourteen billion, one hundred one million, one hundred twenty thousand, two hundred forty".