414101430240 has 48 divisors (see below), whose sum is σ = 1304419506768. Its totient is φ = 110427047936.

The previous prime is 414101430233. The next prime is 414101430287. The reversal of 414101430240 is 42034101414.

It is a tau number, because it is divible by the number of its divisors (48).

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 414101430240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431355177 + ... + 431356136.

It is an arithmetic number, because the mean of its divisors is an integer number (27175406391).

Almost surely, 2^414101430240 is an apocalyptic number.

414101430240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414101430240 is an abundant number, since it is smaller than the sum of its proper divisors (890318076528).

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

414101430240 is a wasteful number, since it uses less digits than its factorization.

414101430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862711331 (or 862711323 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414101430240 its reverse (42034101414), we get a palindrome (456135531654).

The spelling of 414101430240 in words is "four hundred fourteen billion, one hundred one million, four hundred thirty thousand, two hundred forty".