414420211320 has 64 divisors (see below), whose sum is σ = 1243481220000. Its totient is φ = 110492448768.

The previous prime is 414420211301. The next prime is 414420211391. The reversal of 414420211320 is 23112024414.

It is a super-2 number, since 2×414420211320² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379156 + ... + 986204.

Almost surely, 2^414420211320 is an apocalyptic number.

414420211320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414420211320 is an abundant number, since it is smaller than the sum of its proper divisors (829061008680).

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

414420211320 is a wasteful number, since it uses less digits than its factorization.

414420211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612752 (or 612748 counting only the distinct ones).

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

Adding to 414420211320 its reverse (23112024414), we get a palindrome (437532235734).

The spelling of 414420211320 in words is "four hundred fourteen billion, four hundred twenty million, two hundred eleven thousand, three hundred twenty".