414101441400 has 96 divisors (see below), whose sum is σ = 1287816376560. Its totient is φ = 110074199040.

The previous prime is 414101441317. The next prime is 414101441401. The reversal of 414101441400 is 4144101414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914707 + ... + 1290306.

Almost surely, 2^414101441400 is an apocalyptic number.

414101441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414101441400 is an abundant number, since it is smaller than the sum of its proper divisors (873714935160).

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

414101441400 is a wasteful number, since it uses less digits than its factorization.

414101441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205345 (or 2205336 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414101441400 its reverse (4144101414), we get a palindrome (418245542814).

The spelling of 414101441400 in words is "four hundred fourteen billion, one hundred one million, four hundred forty-one thousand, four hundred".