213152242440 has 128 divisors (see below), whose sum is σ = 647715340800. Its totient is φ = 56110371840.

The previous prime is 213152242361. The next prime is 213152242517. The reversal of 213152242440 is 44242251312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213152242398 and 213152242407.

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, 3514614 + ... + 3574746.

It is an arithmetic number, because the mean of its divisors is an integer number (5060276100).

Almost surely, 2^213152242440 is an apocalyptic number.

213152242440 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 213152242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323857670400).

213152242440 is an abundant number, since it is smaller than the sum of its proper divisors (434563098360).

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

213152242440 is a wasteful number, since it uses less digits than its factorization.

213152242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60527 (or 60523 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 213152242440 its reverse (44242251312), we get a palindrome (257394493752).

The spelling of 213152242440 in words is "two hundred thirteen billion, one hundred fifty-two million, two hundred forty-two thousand, four hundred forty".