414101113000 has 128 divisors (see below), whose sum is σ = 1026485460000. Its totient is φ = 155822592000.

The previous prime is 414101112977. The next prime is 414101113003. The reversal of 414101113000 is 311101414.

It can be written as a sum of positive squares in 16 ways, for example, as 1389947524 + 412711165476 = 37282^2 + 642426^2 .

It is not an unprimeable number, because it can be changed into a prime (414101113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46728570 + ... + 46737430.

Almost surely, 2^414101113000 is an apocalyptic number.

414101113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414101113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513242730000).

414101113000 is an abundant number, since it is smaller than the sum of its proper divisors (612384347000).

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

414101113000 is a wasteful number, since it uses less digits than its factorization.

414101113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 414101113000 its reverse (311101414), we get a palindrome (414412214414).

The spelling of 414101113000 in words is "four hundred fourteen billion, one hundred one million, one hundred thirteen thousand".