214395142720 has 224 divisors, whose sum is σ = 591963540480. Its totient is φ = 73139189760.

The previous prime is 214395142673. The next prime is 214395142721. The reversal of 214395142720 is 27241593412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (214395142721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6873079 + ... + 6904201.

Almost surely, 2^214395142720 is an apocalyptic number.

214395142720 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 214395142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295981770240).

214395142720 is an abundant number, since it is smaller than the sum of its proper divisors (377568397760).

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

214395142720 is a wasteful number, since it uses less digits than its factorization.

214395142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31273 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 214395142720 in words is "two hundred fourteen billion, three hundred ninety-five million, one hundred forty-two thousand, seven hundred twenty".