214034087720 has 32 divisors (see below), whose sum is σ = 491823014400. Its totient is φ = 83792067648.

The previous prime is 214034087719. The next prime is 214034087737. The reversal of 214034087720 is 27780430412.

214034087720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214034087720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56922080 + ... + 56925839.

It is an arithmetic number, because the mean of its divisors is an integer number (15369469200).

Almost surely, 2^214034087720 is an apocalyptic number.

214034087720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214034087720 is an abundant number, since it is smaller than the sum of its proper divisors (277788926680).

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

214034087720 is a wasteful number, since it uses less digits than its factorization.

214034087720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113847977 (or 113847973 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 214034087720 in words is "two hundred fourteen billion, thirty-four million, eighty-seven thousand, seven hundred twenty".