214013734140 has 96 divisors (see below), whose sum is σ = 601015193856. Its totient is φ = 56901312000.

The previous prime is 214013734127. The next prime is 214013734141. The reversal of 214013734140 is 41437310412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214013734098 and 214013734107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214013734141) 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, 71312640 + ... + 71315640.

It is an arithmetic number, because the mean of its divisors is an integer number (6260574936).

Almost surely, 2^214013734140 is an apocalyptic number.

214013734140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214013734140 is an abundant number, since it is smaller than the sum of its proper divisors (387001459716).

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

214013734140 is a wasteful number, since it uses less digits than its factorization.

214013734140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 214013734140 in words is "two hundred fourteen billion, thirteen million, seven hundred thirty-four thousand, one hundred forty".