214300240040 has 64 divisors (see below), whose sum is σ = 490226256000. Its totient is φ = 84295079680.

The previous prime is 214300240009. The next prime is 214300240117. The reversal of 214300240040 is 40042003412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214300239994 and 214300240021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007771 + ... + 1201749.

It is an arithmetic number, because the mean of its divisors is an integer number (7659785250).

Almost surely, 2^214300240040 is an apocalyptic number.

214300240040 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 214300240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245113128000).

214300240040 is an abundant number, since it is smaller than the sum of its proper divisors (275926015960).

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

214300240040 is a wasteful number, since it uses less digits than its factorization.

214300240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194450 (or 194446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214300240040 its reverse (40042003412), we get a palindrome (254342243452).

The spelling of 214300240040 in words is "two hundred fourteen billion, three hundred million, two hundred forty thousand, forty".