414041101020 has 144 divisors (see below), whose sum is σ = 1288518023520. Its totient is φ = 107578748928.

The previous prime is 414041101009. The next prime is 414041101027. The reversal of 414041101020 is 20101140414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414041100984 and 414041101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414041101027) 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 47 ways as a sum of consecutive naturals, for example, 1027552 + ... + 1372568.

It is an arithmetic number, because the mean of its divisors is an integer number (8948041830).

Almost surely, 2^414041101020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414041101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644259011760).

414041101020 is an abundant number, since it is smaller than the sum of its proper divisors (874476922500).

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

414041101020 is a wasteful number, since it uses less digits than its factorization.

414041101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345204 (or 345199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 414041101020 its reverse (20101140414), we get a palindrome (434142241434).

The spelling of 414041101020 in words is "four hundred fourteen billion, forty-one million, one hundred one thousand, twenty".