214241002040 has 128 divisors (see below), whose sum is σ = 542344118400. Its totient is φ = 75619891200.

The previous prime is 214241002037. The next prime is 214241002057. The reversal of 214241002040 is 40200142412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452749 + ... + 1593411.

It is an arithmetic number, because the mean of its divisors is an integer number (4237063425).

Almost surely, 2^214241002040 is an apocalyptic number.

214241002040 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 214241002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271172059200).

214241002040 is an abundant number, since it is smaller than the sum of its proper divisors (328103116360).

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

214241002040 is a wasteful number, since it uses less digits than its factorization.

214241002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140817 (or 140813 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214241002040 its reverse (40200142412), we get a palindrome (254441144452).

The spelling of 214241002040 in words is "two hundred fourteen billion, two hundred forty-one million, two thousand, forty".