214041811392 has 224 divisors, whose sum is σ = 647637576960. Its totient is φ = 69281049600.

The previous prime is 214041811337. The next prime is 214041811411. The reversal of 214041811392 is 293118140412.

214041811392 is a `hidden beast` number, since 2 + 1 + 40 + 418 + 113 + 92 = 666.

214041811392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12846267 + ... + 12862917.

Almost surely, 2^214041811392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323818788480).

214041811392 is an abundant number, since it is smaller than the sum of its proper divisors (433595765568).

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

214041811392 is a wasteful number, since it uses less digits than its factorization.

214041811392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16888 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 214041811392 in words is "two hundred fourteen billion, forty-one million, eight hundred eleven thousand, three hundred ninety-two".