414113211336 has 256 divisors, whose sum is σ = 1196434022400. Its totient is φ = 118214553600.

The previous prime is 414113211319. The next prime is 414113211353. The reversal of 414113211336 is 633112311414.

It is an interprime number because it is at equal distance from previous prime (414113211319) and next prime (414113211353).

It is a nude number because it is divisible by every one of its digits.

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, 249916620 + ... + 249918276.

It is an arithmetic number, because the mean of its divisors is an integer number (4673570400).

Almost surely, 2^414113211336 is an apocalyptic number.

414113211336 is a gapful number since it is divisible by the number (46) 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 414113211336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598217011200).

414113211336 is an abundant number, since it is smaller than the sum of its proper divisors (782320811064).

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

414113211336 is a wasteful number, since it uses less digits than its factorization.

414113211336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2296 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 414113211336 in words is "four hundred fourteen billion, one hundred thirteen million, two hundred eleven thousand, three hundred thirty-six".