214204641000 has 512 divisors, whose sum is σ = 824053201920. Its totient is φ = 45207552000.

The previous prime is 214204640963. The next prime is 214204641011. The reversal of 214204641000 is 146402412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18915340 + ... + 18926660.

It is an arithmetic number, because the mean of its divisors is an integer number (1609478910).

Almost surely, 2^214204641000 is an apocalyptic number.

214204641000 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 214204641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412026600960).

214204641000 is an abundant number, since it is smaller than the sum of its proper divisors (609848560920).

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

214204641000 is a wasteful number, since it uses less digits than its factorization.

214204641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11422 (or 11408 counting only the distinct ones).

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

The spelling of 214204641000 in words is "two hundred fourteen billion, two hundred four million, six hundred forty-one thousand".