414142212120 has 768 divisors, whose sum is σ = 1609331068800. Its totient is φ = 84443627520.

The previous prime is 414142212109. The next prime is 414142212131. The reversal of 414142212120 is 21212241414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414142212109) and next prime (414142212131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511918276 + ... + 511919084.

Almost surely, 2^414142212120 is an apocalyptic number.

414142212120 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 414142212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804665534400).

414142212120 is an abundant number, since it is smaller than the sum of its proper divisors (1195188856680).

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

414142212120 is a wasteful number, since it uses less digits than its factorization.

414142212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1057 counting only the distinct ones).

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

Adding to 414142212120 its reverse (21212241414), we get a palindrome (435354453534).

The spelling of 414142212120 in words is "four hundred fourteen billion, one hundred forty-two million, two hundred twelve thousand, one hundred twenty".