214213417152000 has 1280 divisors, whose sum is σ = 825645171326976. Its totient is φ = 48262287360000.

The previous prime is 214213417151977. The next prime is 214213417152001. The reversal of 214213417152000 is 251714312412.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×214213417152000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214213417152001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54772030045 + ... + 54772033955.

Almost surely, 2^{214213417152000} is an apocalyptic number.

214213417152000 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 214213417152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412822585663488).

214213417152000 is an abundant number, since it is smaller than the sum of its proper divisors (611431754174976).

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

214213417152000 is an equidigital number, since it uses as much as digits as its factorization.

214213417152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 214213417152000 in words is "two hundred fourteen trillion, two hundred thirteen billion, four hundred seventeen million, one hundred fifty-two thousand".