214416034240 has 112 divisors (see below), whose sum is σ = 515146625280. Its totient is φ = 85002485760.

The previous prime is 214416034219. The next prime is 214416034363. The reversal of 214416034240 is 42430614412.

It is a congruent number.

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, 16334880 + ... + 16348000.

It is an arithmetic number, because the mean of its divisors is an integer number (4599523440).

Almost surely, 2^214416034240 is an apocalyptic number.

214416034240 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 214416034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257573312640).

214416034240 is an abundant number, since it is smaller than the sum of its proper divisors (300730591040).

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

214416034240 is a wasteful number, since it uses less digits than its factorization.

214416034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 214416034240 its reverse (42430614412), we get a palindrome (256846648652).

The spelling of 214416034240 in words is "two hundred fourteen billion, four hundred sixteen million, thirty-four thousand, two hundred forty".