213385541400 has 288 divisors, whose sum is σ = 761294242800. Its totient is φ = 55514419200.

The previous prime is 213385541333. The next prime is 213385541401. The reversal of 213385541400 is 4145583312.

213385541400 is a `hidden beast` number, since 2 + 1 + 33 + 85 + 541 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×213385541400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213385541401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1939056 + ... + 2046144.

Almost surely, 2^213385541400 is an apocalyptic number.

213385541400 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 213385541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380647121400).

213385541400 is an abundant number, since it is smaller than the sum of its proper divisors (547908701400).

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

213385541400 is a wasteful number, since it uses less digits than its factorization.

213385541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107161 (or 107140 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 213385541400 in words is "two hundred thirteen billion, three hundred eighty-five million, five hundred forty-one thousand, four hundred".