414101123000 has 128 divisors (see below), whose sum is σ = 987723210240. Its totient is φ = 162455040000.

The previous prime is 414101122969. The next prime is 414101123017. The reversal of 414101123000 is 321101414.

It is a happy number.

It is a super-2 number, since 2×414101123000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414101123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21523385 + ... + 21542615.

It is an arithmetic number, because the mean of its divisors is an integer number (7716587580).

Almost surely, 2^414101123000 is an apocalyptic number.

414101123000 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 414101123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493861605120).

414101123000 is an abundant number, since it is smaller than the sum of its proper divisors (573622087240).

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

414101123000 is a wasteful number, since it uses less digits than its factorization.

414101123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19666 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 414101123000 its reverse (321101414), we get a palindrome (414422224414).

The spelling of 414101123000 in words is "four hundred fourteen billion, one hundred one million, one hundred twenty-three thousand".