213415242503640 has 512 divisors, whose sum is σ = 659818011525120. Its totient is φ = 55206012837888.

The previous prime is 213415242503633. The next prime is 213415242503681. The reversal of 213415242503640 is 46305242514312.

It is a junction number, because it is equal to n+sod(n) for n = 213415242503592 and 213415242503601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66339831312 + ... + 66339834528.

It is an arithmetic number, because the mean of its divisors is an integer number (1288707053760).

Almost surely, 2^{213415242503640} is an apocalyptic number.

213415242503640 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 213415242503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329909005762560).

213415242503640 is an abundant number, since it is smaller than the sum of its proper divisors (446402769021480).

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

213415242503640 is a wasteful number, since it uses less digits than its factorization.

213415242503640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 213415242503640 in words is "two hundred thirteen trillion, four hundred fifteen billion, two hundred forty-two million, five hundred three thousand, six hundred forty".