414412021320 has 256 divisors, whose sum is σ = 1413883330560. Its totient is φ = 96259200000.

The previous prime is 414412021319. The next prime is 414412021327. The reversal of 414412021320 is 23120214414.

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

It is not an unprimeable number, because it can be changed into a prime (414412021327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4082785 + ... + 4183055.

It is an arithmetic number, because the mean of its divisors is an integer number (5522981760).

Almost surely, 2^414412021320 is an apocalyptic number.

414412021320 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 414412021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706941665280).

414412021320 is an abundant number, since it is smaller than the sum of its proper divisors (999471309240).

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

414412021320 is a wasteful number, since it uses less digits than its factorization.

414412021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100428 (or 100424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414412021320 its reverse (23120214414), we get a palindrome (437532235734).

The spelling of 414412021320 in words is "four hundred fourteen billion, four hundred twelve million, twenty-one thousand, three hundred twenty".