213541421040 has 560 divisors, whose sum is σ = 791593620480. Its totient is φ = 53394992640.

The previous prime is 213541421029. The next prime is 213541421069. The reversal of 213541421040 is 40124145312.

213541421040 is a `hidden beast` number, since 2 + 1 + 35 + 414 + 210 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213541420995 and 213541421013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 114131305 + ... + 114133175.

Almost surely, 2^213541421040 is an apocalyptic number.

213541421040 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 213541421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395796810240).

213541421040 is an abundant number, since it is smaller than the sum of its proper divisors (578052199440).

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

213541421040 is a wasteful number, since it uses less digits than its factorization.

213541421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 213541421040 its reverse (40124145312), we get a palindrome (253665566352).

The spelling of 213541421040 in words is "two hundred thirteen billion, five hundred forty-one million, four hundred twenty-one thousand, forty".