414011221000000 has 1568 divisors, whose sum is σ = 1178232180935040. Its totient is φ = 143270400000000.

The previous prime is 414011220999973. The next prime is 414011221000009. The reversal of 414011221000000 is 122110414.

It is a happy number.

It is a super-2 number, since 2×414011221000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414011221000009) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3160390999935 + ... + 3160391000065.

It is an arithmetic number, because the mean of its divisors is an integer number (751423584780).

Almost surely, 2^{414011221000000} is an apocalyptic number.

414011221000000 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 414011221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589116090467520).

414011221000000 is an abundant number, since it is smaller than the sum of its proper divisors (764220959935040).

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

414011221000000 is a wasteful number, since it uses less digits than its factorization.

414011221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 414011221000000 its reverse (122110414), we get a palindrome (414011343110414).

The spelling of 414011221000000 in words is "four hundred fourteen trillion, eleven billion, two hundred twenty-one million", and thus it is an aban number.