414030211440 has 320 divisors, whose sum is σ = 1465421207040. Its totient is φ = 96042516480.

The previous prime is 414030211379. The next prime is 414030211451. The reversal of 414030211440 is 44112030414.

It is a super-2 number, since 2×414030211440² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414030211440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3113187 + ... + 3243453.

It is an arithmetic number, because the mean of its divisors is an integer number (4579441272).

Almost surely, 2^414030211440 is an apocalyptic number.

414030211440 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 414030211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732710603520).

414030211440 is an abundant number, since it is smaller than the sum of its proper divisors (1051390995600).

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

414030211440 is a wasteful number, since it uses less digits than its factorization.

414030211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130360 (or 130354 counting only the distinct ones).

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

Adding to 414030211440 its reverse (44112030414), we get a palindrome (458142241854).

The spelling of 414030211440 in words is "four hundred fourteen billion, thirty million, two hundred eleven thousand, four hundred forty".