214812844235040 has 192 divisors, whose sum is σ = 687962036361600. Its totient is φ = 56327248035840.

The previous prime is 214812844235023. The next prime is 214812844235047. The reversal of 214812844235040 is 40532448218412.

It is a super-3 number, since 3×214812844235040³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (214812844235047) by changing a digit.

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, 95482792 + ... + 97706648.

It is an arithmetic number, because the mean of its divisors is an integer number (3583135606050).

Almost surely, 2^{214812844235040} is an apocalyptic number.

214812844235040 is a gapful number since it is divisible by the number (20) 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 214812844235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343981018180800).

214812844235040 is an abundant number, since it is smaller than the sum of its proper divisors (473149192126560).

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

214812844235040 is a wasteful number, since it uses less digits than its factorization.

214812844235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227235 (or 2227227 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 214812844235040 in words is "two hundred fourteen trillion, eight hundred twelve billion, eight hundred forty-four million, two hundred thirty-five thousand, forty".