414211394688 has 256 divisors, whose sum is σ = 1358598743040. Its totient is φ = 108883906560.

The previous prime is 414211394671. The next prime is 414211394693. The reversal of 414211394688 is 886493112414.

It is a super-2 number, since 2×414211394688² (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 414211394688.

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, 10708503 + ... + 10747113.

It is an arithmetic number, because the mean of its divisors is an integer number (5307026340).

Almost surely, 2^414211394688 is an apocalyptic number.

414211394688 is a gapful number since it is divisible by the number (48) 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 414211394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679299371520).

414211394688 is an abundant number, since it is smaller than the sum of its proper divisors (944387348352).

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

414211394688 is a wasteful number, since it uses less digits than its factorization.

414211394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38955 (or 38943 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 414211394688 in words is "four hundred fourteen billion, two hundred eleven million, three hundred ninety-four thousand, six hundred eighty-eight".