213140040 has 64 divisors (see below), whose sum is σ = 646047360. Its totient is φ = 56248320.

The previous prime is 213140029. The next prime is 213140051. The reversal of 213140040 is 40041312.

It is an interprime number because it is at equal distance from previous prime (213140029) and next prime (213140051).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2485 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (10094490).

Almost surely, 2^213140040 is an apocalyptic number.

213140040 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 213140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323023680).

213140040 is an abundant number, since it is smaller than the sum of its proper divisors (432907320).

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

213140040 is a wasteful number, since it uses less digits than its factorization.

213140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213140040 is about 14599.3164223535. The cubic root of 213140040 is about 597.3401146636.

Adding to 213140040 its reverse (40041312), we get a palindrome (253181352).

The spelling of 213140040 in words is "two hundred thirteen million, one hundred forty thousand, forty".