213414135480 has 1536 divisors, whose sum is σ = 972155520000. Its totient is φ = 41114013696.

The previous prime is 213414135479. The next prime is 213414135521. The reversal of 213414135480 is 84531414312.

213414135480 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 141 + 35 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 379065679 + ... + 379066241.

It is an arithmetic number, because the mean of its divisors is an integer number (632913750).

Almost surely, 2^213414135480 is an apocalyptic number.

213414135480 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 213414135480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486077760000).

213414135480 is an abundant number, since it is smaller than the sum of its proper divisors (758741384520).

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

213414135480 is a wasteful number, since it uses less digits than its factorization.

213414135480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 213414135480 its reverse (84531414312), we get a palindrome (297945549792).

The spelling of 213414135480 in words is "two hundred thirteen billion, four hundred fourteen million, one hundred thirty-five thousand, four hundred eighty".